In the figure below, the square ABCD is made up of two parts, X and Y.The part X, is formed by a semicircle and line AB. The perimeter of X is 36 cm and perimeter of the shaded part Y is 64 cm. a. Find the perimeter of square ABCD b. Find the area of shaded region Y

Explanation

`a+pir=36cm-(1)`

`pir+3a=64-(2)`

subtracting equation 2 from equation 1

3a-a=64-36

a=14cm

`a+pir=36cm`

`pir=22cm`

area of semicircle =`1/2*pir^2=22/2*22/22*7=77cm^2`

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