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Quantitative Aptitude

Solid Geometry

A rectangle o...

Question

A rectangle of certain dimensions is chopped off from one corner of a larger rectangle as shown. AB = 8 cm and BC = 4 cm. the perimeter of the figure ABCPQRA (in cm).

A

24

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B

28

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C

36

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D

48

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E

54

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Solution

The correct option is A
24

Required perimeter = $(A B + B C + C P + P Q + Q R + R A) = A B + B C + (C P + Q R) + (P Q + R A) = A B + B C + A B + B C = 2 (A B + B C) = [2 (8 + 4)] c m = 24 c m$

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