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Question

Parallelogram ABCD and Rectangle EBCF are between the same parallels. If the area of the parallelogram ABCD is 24 cm2, then the area of the rectangle EBCF is

A

48 cm2

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B

24 cm2

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C

12 cm2

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D

6 cm2

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Solution

The correct option is B 24 cm2 Parallelogram ABCD and Rectangle EBCF are between the same parallels (given) Also Parallelogram ABCD and Rectangle EBCF have the same base BC. Therefore Area Rectangle EBCF = area Parallelogram ABCD .....(Rectangles and Parallelograms on the same base and between the same parallels are equal in area) Area Rectangle EBCF = 24 cm2 Hence (B)

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