If letters $a$ and $b$ represent the lengths of the sides, find the area of the given figure?

2 a b + a (b - a)

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3 a^{2} b

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3 a (b - a) + a^{2}

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3 a b

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Solution

The correct option is D $3 a b$

Area of figure = (1) + (2) + (3)
= $H G \times A H + J K \times I J + F E \times D E$
= $a \times b + a \times (b - a) + a \times (b + a)$
= $a b + a b - a^{2} + a b + a^{2} = 3 a b$

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