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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 |
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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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