Question

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

Answer 1

Hint: In this question altitude and base of parallelogram are given. Find the area of parallelogram using basic formula and use this area or vice-versa to find the length of another pair of parallel sides.

Complete step-by-step answer:
Base of parallelogram = 35cm
Altitude of parallelogram = 42cm
Area of parallelogram = $base \times altitude$
=35$\times$42
=1470$c{m^2}$
Let length of other pair of side be $x$ cm
$\therefore$Area of parallelogram
$= 30 \times x \\\ = 30x \\\$
$\Rightarrow 30x = 1470 \\\ x = \dfrac{{1470}}{{30}} \\\ x = 49cm \\\ \\\$
Length of the other side is 49cm.

Note: The formula for area of the parallelogram in terms of altitude must be remembered. Also, students must keep in mind by whatever way may the area of the same figure be found out. It always remains the same.