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Explanation:

The area of the semicircle = 72π sq. cm. If ‘r’ is the radius of the semi-circular portion removed,

We get π×r22=72

Therefore r = 12 cm.
Therefore the diameter of the semi-circle = AB = 24 cm.

Area of rectangle ABCD = 768 sq. cm.

Therefore the length of side AC =76824=32 cm.

The perimeter of the leftover portion

= Perimeter of the semicircle + l(AD) + l(DC) + l(CB)
= 12π + 32 + 24 + 32 = 88 + 12π

Hence, option (a).

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