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Question
In the given figure, find the area of parallelogram ABCD, if the area of shaded triangle is 9 cm2.
Solution
Given, area of shaded triangle = 9 cm2
and base of the triangle = 3 cm
∵ Area of a triangle = `1/2` × Base × Height
⇒ 9 = `1/2 xx 3 xx h`
⇒ `18/3` = h
⇒ h = 6 cm
∴ Area of parallelogram = Height × Base of parallelogram = 6 × (3 + 4) = 6 × 7 = 42 cm2.
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