help with a problem dealing with area of squares....

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help with a problem dealing with area of squares....

Mathematics
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Picture included please helpppppp!!!
  • phi
any idea how to find the area of the small white square ?

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Other answers:

multiple two sides..
  • phi
what is the length of a side of the small white square ?
  • phi
they tell you in the picture. what does it say?
is it s?
  • phi
yes. the side is "s" long. but in algebra we can use letters. in a square all the sides are the same length, so they are all "s" now multiply length * height can you do that?
would it be s*p
  • phi
no. the area of a square is its width * height or side * side (because they are the same ) p has nothing to do with the small square. the small square has sides of length "s" what is its area?
\[s ^{2}\]
  • phi
yes, s*s or s^2 now, any idea what the area of the big square is ?
  • phi
what is the length of the side of the big square? they tell you in the picture.
p^2
  • phi
ok next, we notice that the "purple" part is not the whole big square notice the while square plus the purple part adds up to the big square.
  • phi
if we start with the area of the big square and subtract off the area of the white square, we will get what is leftover... the area of the purple part
so p^2-s^2= area of purple part?
  • phi
yes. does that make sense?
Yes thank you so much :)

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