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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 perimeter and area of the kite.
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The kite has two opposite vertices at two opposite vertices of the square.
Two shortest sides of the kite have the length of 4/2 = 2 cm each.
The longest side is the hypotenuse of the right-angled triangle with the legs
of 2 cm and 4 cm long, so each longest side of the kite has the length
= = .
Thus the perimeter of the kite is = 12.944 cm (rounded). ANSWER
To find the area of the kite, subtract the area of two triangles from the area of the original square.
You will get for the area = 16 - 8 = 8 cm^2. ANSWER
Solved.