Question

Parallelogram ABCD and Rectangle EBCF are between the same parallels. If the area of the parallelogram ABCD is $24c{m}^2$, then the area of the rectangle EBCF is

• A. $48c{m}^2$
• B. $24c{m}^2$
• C. $12c{m}^2$
• D. $6c{m}^2$

Answer 1

The correct option is B

$24c{m}^2$

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 = $24c{m}^2$

Hence (B)