Question

The two parallel sides of a trapezium are $19.8cm$ and $7.2cm$. If the area of the trapezium is $135c{m}^2$, find the distance between its parallel sides.

Answer 1

two parallel side of trapezium are 19.8 cm & 7.2 cm

Area of trapezium = $135c{m}^2$

distance between parallel sides = (?)

$\to$ Area of trapezium = one $\frac{parallelside+otherside}{2}\times h$

$A=\frac{a+b}{2}\times h$

$\therefore 135=\frac{19.8+7.2}{2}\times h$

$\therefore h=\frac{135\times 2}{27}$

$\therefore h=\frac{270}{27}$

$\therefore h=10cm$