SOLUTION: A kite is inscribed in a square of side 4 cm. Points X and Y are midpoints of the sides of the square. Find the area of the kite. What is its perimeter? Image Below : http://im

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Question 1077079: A kite is inscribed in a square of side 4 cm. Points X and Y are midpoints of the sides of the square. Find the area of the kite. What is its perimeter?
Image Below :
http://imageshack.com/a/img923/5250/INYITh.png
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
w, the length of any side of the square.

Point Y cuts the side on which it is midpoint into two w%2F2 lengths.

Whole Square Area:
w%5E2

The area for the two right triangles to be excluded:
%28w%2F2%29%2Aw

Area of the kite:
w%5E2-%281%2F2%29w%5E2
highlight%28w%5E2%2F2%29