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Q.

What is the area of the given polygon? 

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a

36 sq. cm

b

42 sq. cm

c

49 sq. cm

d

54 sq. cm

answer is C.

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Detailed Solution

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We start by labelling the figure and joining points J and G. We draw KY AB and FXDC.

Thus, the given figure can be divided into:

(1) Rectangle AYKL of length 2 cm and breadth 3.5 cm

(2) Rectangle JGHI of length 2 cm and breadth 1.5 cm

(3) Rectangle EFXD of length 2 cm and breadth 3 cm

(4) Rectangle BCXY of breadth (3.5 + 1.5 + 1.5 + 1.5 + 3) cm= 11 cm and length (5 − 2) cm = 3 cm

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