Question

Area of a trapezium is $480{cm}^2$. Length of one of the parallel sides is $24cm$ and the distance between the parallel sides is $8cm$. Find the length of the other parallel side.

Answer 1

One of the parallel sides $=24cm$

Let the length of the other parallel sides be ' $x$ ' $cm$

Also, area of the trapezium $=480{cm}^2$

Distance between the parallel sides $=8cm$

$\therefore$ Area of a trapezium $=\frac{1}{2}\times (a+b)\times h$

$\therefore 480=\frac{1}{2}\times (24+x)\times 8$

$\Rightarrow 480=96+4x$

$\Rightarrow 480-96=4x$

$\Rightarrow 4x=384$

$\Rightarrow x=\frac{384}{4}=96cm$