Question

The base and the corresponding altitude of a parallelogram are $35\text{cm}$ and $42\text{cm}$ respectively. If the other altitudes is $30\text{cm}$, find the length of the other pair of parallel sides.

Answer 1

We know

Area of parallelogram $=$ Base $\times$ Height

The other parallel line will act as base for the other altitude.

Let, the other base be '$x$'

So, using the formula for area of parallelogram for each base and altitude at a time, we get:

$35\times 42=x\times 30$

$x=\frac{35\times 42}{30}$

$x=49\text{cm}$

Therefore, length of the other pair of parallel sides is 49 cm.