Question

Given two parallelogram $ABCD$ and $CDEF$ on the same base $CD.$The height of parallelogram $ABCD$ is same as the height of parallelogram $CDEF.$ Area of $ABCD$ is $50m^2$. Find the area of parallelogram $CDEF.$

• A. $25m^2$
• B. $100m^2$
• C. $50m^2$
• D. None of these

Answer 1

Answer: (C)

$50m^2$

Parallelograms on the same base and between same parallel lines are equal in area.

$A\left(\square ABCD\right)=base\times height=CD\times h=50$...(given).......(1)

$A\left(\square CDEF\right)=CD\times h$ ...(as height of both qudrilatral is same)

$=50$ (from 1)