Question

# In the given figure, area (parallelogram ABCD) = 48 and Find area of

- 12
- 24
- 18
- 8

## The correct answer is: 24

### we should find the area of the given parallelogram

⇒ In given figure, we can see that parallelogram $ABCD$ and parallelogram $ABEF$ both are lies between same parallel line that is $FC$ and $AB$.

⇒ And parallelogram $ABCD$ and $ABEF$ contains same base that is $AB$.

⇒ So, we know that parallelogram on same base and between same parallels are equal in area.

⇒ So, $Area(ABCD)=Area(ABEF)$ ------ ( 1 )

⇒ We have given $Area(ABCD)=48c2$

From $(1)$ we get,

Area of parallelogram $ABEF=48c2$

⇒ And parallelogram $ABCD$ and $ABEF$ contains same base that is $AB$.

⇒ So, we know that parallelogram on same base and between same parallels are equal in area.

⇒ So, $Area(ABCD)=Area(ABEF)$ ------ ( 1 )

⇒ We have given $Area(ABCD)=48c2$

From $(1)$ we get,

Area of parallelogram $ABEF=48c2$

Hence option C is correct

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