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Mathematics 14 Online
OpenStudy (dylanfwlr):

ABGF is a square with half the perimeter of square ACDE. GD = 4 in. Find the area of the shaded region.

OpenStudy (dylanfwlr):

OpenStudy (dylanfwlr):

Please just get me started

OpenStudy (dylanfwlr):

@ganeshie8

OpenStudy (anonymous):

pythagorean theorem

OpenStudy (dylanfwlr):

I've tried that

OpenStudy (dylanfwlr):

Is it supposed to come out so ugly though? like decimals

OpenStudy (dylanfwlr):

Could you give me a side length?

OpenStudy (anonymous):

it should be a whole number I think

OpenStudy (dylanfwlr):

So a^2 + B^2 = c^2 or 8^2 which is 64?

OpenStudy (dylanfwlr):

Now i have a^2 + b^2 = 64 but since its a square a and b have to be equal and nothing works

OpenStudy (anonymous):

you have something like \[x \sqrt{y} \]

OpenStudy (anonymous):

then when you find the side then square it you'll get a whole number

OpenStudy (dylanfwlr):

Feel free to jump in guys if ya know

OpenStudy (dylanfwlr):

I dont understand where the x and y come from

OpenStudy (anonymous):

...\[\sqrt{64}/2 =\sqrt{32} = 4\sqrt{2}\]

OpenStudy (anonymous):

do you get it?

OpenStudy (dylanfwlr):

Not really. I mean why are you taking the square root of 64 and why is it being divided by 2? because there are two sides?

OpenStudy (anonymous):

\[a^2+b^2=c^2 \] in this case it is a square so a=b then it is \[2a^2=64\]

ganeshie8 (ganeshie8):

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