Question

The area of the trapezium is $34$ sq cm and the length of one of the parallel side is $10$ cm and its height is $4$ cm. Find the length of the parallel side.

Answer 1

Given: Area of trapezium = 34 sq. cm, he length of one of the parallel side is 10 cm and its height is 4 cm.
Let other parallel side be x cm.
Area of Trapezium $=\frac{1}{2}\times \text{Sum of Parallel Sides}\times \text{Distance between parallel sides}$

$\Rightarrow 34=\frac{1}{2}\times (10+x)\times 4$
$\Rightarrow \frac{34\times 2}{4}=10+x$
$\Rightarrow x=17-10$

$\Rightarrow x=7$

Therefore, Length of other parallel side of trapezium is $7$ cm