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In the figure given below, $A B C D$ is a rectangle in which $C D = 6 c m, A D = 8$ is a rectangle in which cm. Then the area of parallelogram $C D E F$ cm. Then the area of parallelogram from the options is:

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40 cm 2

42 cm 2

45 cm 2

48 cm 2

answer is D.

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Detailed Solution

Given the figure.
Question Image

We know that, area of a parallelogram

C D E F

and rectangle

A B C D

having the same base CD and between the same parallels are equal.
Area of parallelogram

= b a s e × h e i g h t

Since, area of rectangle

A B C D =

area of the parallelogram CDEF.
Therefore, area of rectangle

A B C D = A B × A D

A B = C D

,
Area of rectangle ABCD

= C D × A D = 6 × 8 = 48 cm 2

Area of parallelogram

C D E F = 48 cm 2

.
Hence, option 4) is correct.

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