Question

The area of trapezium shaped field is $480m^2$, the distance between two parallel sides is $15cm$ and one of the parallel sides is $20m$. Find the other parallel side.

• A. $44m$
• B. $42m$
• C. None of these
• D. $43m$

Answer 1

Answer: (A)

Let $ABCD$ be a trapezium with parallel sides $AB$ and $CD$

Let $AB=20$ ....... (Given) and $CD=x$

$A\left(\square ABCD\right)=480m^2,\text{height}\left(h\right)=15m$ .......... (Given)

We know that, $A\left(\square ABCD\right)=\frac{(AB+CD)}{2}\times h$

$⟹480=\frac{20+x}{2}\times 15$

$⟹\frac{2\times 480}{15}=20+x$

$⟹64=20+x$

$⟹x=44$

Hence, length of other parallel side $CD$ is $44m$.