Question

The area of a trapezium is 34 cm2 and the length of one of the parallel sides is 10 cm and its height is 4 cm. Find the length of the other parallel side.

Answer 1

It is given that, area of trapezium = 34 cm² and height = 4 cm
Let the length of one parallel side be a.
We know that Area of trapezium = $\frac{1}{2}$ (Sum of parallel sides) $\times$ (Distances between parallel sides)
34 = $\frac{1}{2}$ $\times$ (AB + CD)$\times$ 4 cm
34 = $\frac{1}{2}$ $\times$ (10 cm + a) $\times$ 4 cm
34 = 2(10 cm + a)
$\frac{34}{2}$ = 10 cm + a
17 = 10 cm + a
a = 17 cm − 10 cm = 7 cm

Thus, the length of the other parallel side is 7 cm.