What is the area of the given polygon?

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36 sq. cm

42 sq. cm

49 sq. cm

54 sq. cm

answer is C.

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Detailed Solution

We start by labelling the figure and joining points J and G. We draw KY $⊥$ AB and FX $⊥$ DC.

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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