Question

Given a parallelogram $ABCD$. $AH\perp DC,DC=10m,AH=10m$. Find area of parallelogram $ABCD.$

• A. $50m^2$
• B. $100m^2$
• C. $25m^2$
• D. $75m^2$

Answer 1

Answer: (B)

$100m^2$

In given parallelogram ABCD,

$\Rightarrow$ AH $\perp$ DC then, AH is height and DC is base of a parallelogram.

$\Rightarrow$ $AH=h=10m$ and $DC=b=10m$

$\Rightarrow$ Area of parallelogram $ABCD$ = $b\times h$

$\Rightarrow$ Area of parallelogram $ABCD$ = $10\times 10$

$\therefore$ Area of parallelogram $ABCD=100m^2$