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help-10
8e2a51bd6df549688fe8c944b1bd183b
262,130,879,873,286,140
Angelic
04/08/2022 06:57:25
X = y-16?
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help-10
8e2a51bd6df549688fe8c944b1bd183b
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Angelic
04/08/2022 06:57:37
And y = x+16?
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Ann
04/08/2022 06:57:38
are you sticking to my naming scheme or are you using your own names?
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Angelic
04/08/2022 06:57:59
I’m trying to go with your name schemes now
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8e2a51bd6df549688fe8c944b1bd183b
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Ann
04/08/2022 06:58:08
ok, then y = x+16 is not correct.
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help-10
8e2a51bd6df549688fe8c944b1bd183b
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Angelic
04/08/2022 06:58:09
I’m sorry because I’m really slow on math
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help-10
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Ann
04/08/2022 06:58:25
i was not attempting to demean you in any way.
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Angelic
04/08/2022 06:58:42
I understand
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8e2a51bd6df549688fe8c944b1bd183b
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Ann
04/08/2022 06:58:56
> the bigger pool's perimeter is 16 ft more than the smaller pool's perimeter
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help-10
8e2a51bd6df549688fe8c944b1bd183b
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Ann
04/08/2022 06:59:04
.
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help-10
8e2a51bd6df549688fe8c944b1bd183b
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Ann
04/08/2022 06:59:12
read these carefully
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help-10
8e2a51bd6df549688fe8c944b1bd183b
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Ann
04/08/2022 06:59:20
recall what the word _perimeter_ means
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Ann
04/08/2022 07:01:24
or, if you don't remember what it means, tell me as much.
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Angelic
04/08/2022 07:01:53
I’m not sure but is it not the length of a boundary around something?
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Ann
04/08/2022 07:02:07
it is the length of the boundary, yes.
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help-10
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Angelic
04/08/2022 07:02:12
Kind of like a border to a painting
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help-10
8e2a51bd6df549688fe8c944b1bd183b
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Ann
04/08/2022 07:02:17
in particular for the square, the boundary has a length that is easy to calculate.
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Ann
04/08/2022 07:02:21
if you know how many sides a square has.
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Angelic
04/08/2022 07:02:34
4
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8e2a51bd6df549688fe8c944b1bd183b
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Ann
04/08/2022 07:02:49
okay, so would you like to try to make the equation on your own or would you like me to take you through it?
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help-10
8e2a51bd6df549688fe8c944b1bd183b
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Angelic
04/08/2022 07:03:02
Take me through it
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help-10
8e2a51bd6df549688fe8c944b1bd183b
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Ann
04/08/2022 07:03:15
ok
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8e2a51bd6df549688fe8c944b1bd183b
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Ann
04/08/2022 07:03:19
here is our sentence again
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help-10
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Ann
04/08/2022 07:03:25
> the bigger pool's perimeter is 16 ft more than the smaller pool's perimeter
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help-10
8e2a51bd6df549688fe8c944b1bd183b
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Ann
04/08/2022 07:03:39
let's translate this into symbols piece by piece
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help-10
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Ann
04/08/2022 07:03:50
what is the **side length** of the **bigger pool**?
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help-10
8e2a51bd6df549688fe8c944b1bd183b
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Ann
04/08/2022 07:04:37
(i'd like you to not overthink any of the questions i'm about to ask you. these are all really simple)
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Angelic
04/08/2022 07:05:27
4 ft?
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8e2a51bd6df549688fe8c944b1bd183b
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Ann
04/08/2022 07:05:30
no
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Ann
04/08/2022 07:05:34
.
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Ann
04/08/2022 07:05:49
we're sticking with the naming scheme that i gave at the beginning
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8e2a51bd6df549688fe8c944b1bd183b
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Ann
04/08/2022 07:06:08
and the answers to my questions will involve x and y. since, yknow, we're constructing an equation. of course x and y will appear in it.
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help-10
8e2a51bd6df549688fe8c944b1bd183b
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Angelic
04/08/2022 07:07:27
Y = 4(4)?
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help-10
8e2a51bd6df549688fe8c944b1bd183b
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Ann
04/08/2022 07:07:29
no
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Ann
04/08/2022 07:07:31
you're overthinking it
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help-10
8e2a51bd6df549688fe8c944b1bd183b
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Ann
04/08/2022 07:07:52
the length of the bigger pool is just _y_.
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Ann
04/08/2022 07:07:54
that's it.
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help-10
8e2a51bd6df549688fe8c944b1bd183b
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Ann
04/08/2022 07:08:07
that's how we introduced the variable _y_ after all
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help-10
8e2a51bd6df549688fe8c944b1bd183b
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Ann
04/08/2022 07:08:34
you must not forget the definitions of your variables - in fact, you should always write down what **all** of your variables mean at the beginning of your work.
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help-10
8e2a51bd6df549688fe8c944b1bd183b
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Ann
04/08/2022 07:08:46
so that both you and the teacher can refer to the definitions when needed.
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help-10
8e2a51bd6df549688fe8c944b1bd183b
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Ann
04/08/2022 07:09:26
should we continue?
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help-10
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Angelic
04/08/2022 07:09:33
Yes
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help-10
8e2a51bd6df549688fe8c944b1bd183b
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Ann
04/08/2022 07:09:44
the sidelength of the bigger pool is _y_. what is the **perimeter** of the bigger pool?
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help-10
8e2a51bd6df549688fe8c944b1bd183b
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Angelic
04/08/2022 07:10:28
Now is it Y(4)?
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help-10
8e2a51bd6df549688fe8c944b1bd183b
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Ann
04/08/2022 07:10:46
lowercase y, not uppercase Y.
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help-10
8e2a51bd6df549688fe8c944b1bd183b
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Angelic
04/08/2022 07:10:54
y I meant yeah
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help-10
8e2a51bd6df549688fe8c944b1bd183b
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Ann
04/08/2022 07:10:58
and typically when we have a raw number multiplied by a variable we write the number first.
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help-10
8e2a51bd6df549688fe8c944b1bd183b
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Ann
04/08/2022 07:11:05
not that (y)(4) is _invalid_, it's just weird.
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Angelic
04/08/2022 07:11:14
I understand
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help-10
8e2a51bd6df549688fe8c944b1bd183b
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Angelic
04/08/2022 07:11:21
So (4)(y)
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8e2a51bd6df549688fe8c944b1bd183b
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Ann
04/08/2022 07:11:26
no need for parentheses.
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help-10
8e2a51bd6df549688fe8c944b1bd183b
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Ann
04/08/2022 07:11:28
but ignoring these stylistic mistakes, yes, the perimeter of the bigger pool is **4y**.
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help-10
8e2a51bd6df549688fe8c944b1bd183b
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Ann
04/08/2022 07:11:50
now, in the same token, what is the perimeter of the _smaller_ pool?
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help-10
8e2a51bd6df549688fe8c944b1bd183b
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Angelic
04/08/2022 07:11:58
4x
1
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help-10
8e2a51bd6df549688fe8c944b1bd183b
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Ann
04/08/2022 07:12:19
correct
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help-10
8e2a51bd6df549688fe8c944b1bd183b
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Ann
04/08/2022 07:12:23
now
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help-10
8e2a51bd6df549688fe8c944b1bd183b
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Ann
04/08/2022 07:12:40
> the bigger pool's perimeter [**4y**] is 16 ft more than the smaller pool's perimeter [**4x**]
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help-10
8e2a51bd6df549688fe8c944b1bd183b
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Ann
04/08/2022 07:12:46
can you translate this into an equation now?
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help-10
8e2a51bd6df549688fe8c944b1bd183b
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Angelic
04/08/2022 07:13:12
Would the answer be 2 equations in parentheses?
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help-10
8e2a51bd6df549688fe8c944b1bd183b
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Ann
04/08/2022 07:13:33
no, the answer is one equation
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help-10
8e2a51bd6df549688fe8c944b1bd183b
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Ann
04/08/2022 07:13:40
what we have been writing are _expressions_, not equations.
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help-10
8e2a51bd6df549688fe8c944b1bd183b
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Ann
04/08/2022 07:13:46
an equation has an equals sign in it.
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help-10
8e2a51bd6df549688fe8c944b1bd183b
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Ann
04/08/2022 07:14:06
i would like you to write down the equation that says "4y is 16 more than 4x".
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help-10
8e2a51bd6df549688fe8c944b1bd183b
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Angelic
04/08/2022 07:15:33
4y=4x+16?
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help-10
8e2a51bd6df549688fe8c944b1bd183b
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Ann
04/08/2022 07:15:56
there we go.
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8e2a51bd6df549688fe8c944b1bd183b
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Ann
04/08/2022 07:15:57
ok, good.
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help-10
8e2a51bd6df549688fe8c944b1bd183b
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Ann
04/08/2022 07:16:06
we have this equation `4y = 4x + 16`
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help-10
8e2a51bd6df549688fe8c944b1bd183b
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Ann
04/08/2022 07:16:09
let's set it aside for the time being
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8e2a51bd6df549688fe8c944b1bd183b
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Ann
04/08/2022 07:16:16
write it down on your paper
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8e2a51bd6df549688fe8c944b1bd183b
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Ann
04/08/2022 07:16:31
let me know when you've done that so we can continue
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help-10
8e2a51bd6df549688fe8c944b1bd183b
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Angelic
04/08/2022 07:16:56
Got it
1
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help-10
8e2a51bd6df549688fe8c944b1bd183b
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Angelic
04/08/2022 07:17:12
Would the other equation be 4x=4y-16?
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help-10
8e2a51bd6df549688fe8c944b1bd183b
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Ann
04/08/2022 07:17:14
no
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Ann
04/08/2022 07:17:28
4x = 4y-16 is exactly the same as the equation we wrote down previously.
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8e2a51bd6df549688fe8c944b1bd183b
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Ann
04/08/2022 07:17:31
it doesn't tell us anything new.
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8e2a51bd6df549688fe8c944b1bd183b
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Angelic
04/08/2022 07:17:40
Alright
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Ann
04/08/2022 07:17:52
> The sum of the areas of the two pools is 730 square feet.
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8e2a51bd6df549688fe8c944b1bd183b
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Ann
04/08/2022 07:18:02
this is the other sentence we need to turn into an equation
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8e2a51bd6df549688fe8c944b1bd183b
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Ann
04/08/2022 07:18:17
would you like to try it on your own or would you rather be taken through it?
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8e2a51bd6df549688fe8c944b1bd183b
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Angelic
04/08/2022 07:18:29
Taken through it again
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8e2a51bd6df549688fe8c944b1bd183b
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Ann
04/08/2022 07:19:19
ok
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8e2a51bd6df549688fe8c944b1bd183b
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Ann
04/08/2022 07:20:04
what is the **area** of the **smaller** pool?
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help-10
8e2a51bd6df549688fe8c944b1bd183b
262,130,879,873,286,140
Angelic
04/08/2022 07:20:53
I’m not too sure how to find that
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null
1,767
help-10
8e2a51bd6df549688fe8c944b1bd183b
183,668,144,404,037,630
Ann
04/08/2022 07:21:09
do you know how to find the area of a square?
0
1
null
null
null
null
null
1,767
help-10
8e2a51bd6df549688fe8c944b1bd183b
262,130,879,873,286,140
Angelic
04/08/2022 07:21:25
Length times width right?
1
0
null
null
null
null
null
1,767
help-10
8e2a51bd6df549688fe8c944b1bd183b
183,668,144,404,037,630
Ann
04/08/2022 07:21:51
the area of a _square_
0
1
null
null
null
null
null
1,767
help-10
8e2a51bd6df549688fe8c944b1bd183b
262,130,879,873,286,140
Angelic
04/08/2022 07:22:08
Apparently I do not
1
0
null
null
null
null
null
1,767
help-10
8e2a51bd6df549688fe8c944b1bd183b
262,130,879,873,286,140
Angelic
04/08/2022 07:22:21
I completely forgot about all of it
1
0
null
null
null
null
null
1,767
help-10
8e2a51bd6df549688fe8c944b1bd183b
183,668,144,404,037,630
Ann
04/08/2022 07:22:22
okay, let me try it this way: what can you say about the length and width of a square?
0
1
null
null
null
null
null
1,767
help-10
8e2a51bd6df549688fe8c944b1bd183b
262,130,879,873,286,140
Angelic
04/08/2022 07:22:39
They are equal to one another?
1
0
null
null
null
null
null
1,767
help-10
8e2a51bd6df549688fe8c944b1bd183b
183,668,144,404,037,630
Ann
04/08/2022 07:23:02
exactly, they are the same
0
1
null
null
null
null
null
1,767
help-10
8e2a51bd6df549688fe8c944b1bd183b
183,668,144,404,037,630
Ann
04/08/2022 07:23:15
so what is the area of the smaller pool, which is a square with side length _x_?
0
1
null
null
null
null
null
1,767
help-10
8e2a51bd6df549688fe8c944b1bd183b
262,130,879,873,286,140
Angelic
04/08/2022 07:23:43
4x?
1
0
null
null
null
null
null
1,767
help-10
8e2a51bd6df549688fe8c944b1bd183b
183,668,144,404,037,630
Ann
04/08/2022 07:23:50
no, not the perimeter
0
1
null
null
null
null
null
1,767
help-10
8e2a51bd6df549688fe8c944b1bd183b
183,668,144,404,037,630
Ann
04/08/2022 07:23:51
the area
0
1
null
null
null
null
null
1,767
help-10
8e2a51bd6df549688fe8c944b1bd183b
183,668,144,404,037,630
Ann
04/08/2022 07:23:54
we're looking at area now
0
1
null
null
null
null
null
1,767
help-10
8e2a51bd6df549688fe8c944b1bd183b
262,130,879,873,286,140
Angelic
04/08/2022 07:24:43
Still a tad bit confused
1
0
null
null
null
null
null
1,767
help-10
8e2a51bd6df549688fe8c944b1bd183b
183,668,144,404,037,630
Ann
04/08/2022 07:24:52
.
0
1
null
null
null
null
null
1,767
help-10
8e2a51bd6df549688fe8c944b1bd183b
183,668,144,404,037,630
Ann
04/08/2022 07:24:55
.
0
1
null
null
null
null
null
1,767
help-10
8e2a51bd6df549688fe8c944b1bd183b
183,668,144,404,037,630
Ann
04/08/2022 07:24:58
.
0
1
null
null
null
null
null