Question

The longer side of a parallelogram is $81cm$ and the corresponding altitude is $16cm$. If the length of shorter side is $24cm$ then the altitude corresponding to shorter side is

• A. $36cm$
• B. $48cm$
• C. $54cm$
• D. $24cm$

Answer 1

Answer: (C)

$54cm$

Let the altitude corresponding to the shorter side be $x$.

Area of the parallelogram $=$ base $\times$ height.

We have
$81\times 16=24\times x$
$x=\frac{81\times 16}{24}=54cm$
$\therefore$ altitude corresponding to shorter side $=54cm$