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From a rectangle ABCD of area 768 sq cm | Quantitative Aptitude - Geometry – Rectangle

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The question below is from previous year CAT question from CAT 2018 exam comes from CAT Rectangle: From a rectangle ABCD of area 768 sq cm. Find out by answering this question which tests an aspirant’s Quantitative Ability Skills:

CAT 2018 - Slot-2 - Rectangle - Question-5 - The smallest integer n for which

Q. 5: From a rectangle ABCD of area 768 sq cm, a semicircular part with diameter AB and area 72π sq cm is removed. The perimeter of the leftover portion, in cm, is
1. 80 + 16π
2. 86 + 8π
3. 82 + 24π
4. 88 + 12π

Given area of semicircle = 72π

Or (πr^2)/2 = 72π

r = 12

So AB = 24

Thus 24×AD = 768

AD = 32

So Required perimeter = AD+CD+CB+πr = 32+24+32+12π = 88+12π

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