1.

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 ABCDb. Find the area of shaded region Y

Answer» `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`
perimeter of square ABCD =4a=4*14=56cm
area of y=area of square- area of semicircle`=14*14-77`
`=119cm^2`.


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