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Question

In the given figure, find the area of parallelogram ABCD, if the area of the shaded triangle is 9 cm2


A

56 square cm

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B

42 square cm

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C

50 square cm

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D

25 square cm

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Solution

The correct option is B

42 square cm


Given, area of shaded triangle =9 cm2
and base of the triangle = 3 cm
Area of triangle =12×Base×Height
9=12×3×h183=hh=6 cm
Area of parallelogram = Height × Base of parallelogram =6×(3+4)=6×7=42 cm2


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