Question

The area of a trapezium shaped field is 600 m², the distance between two parallel sides is 15 m and one of the parallel sides is 10 m. Find the other parallel side.

Answer 1

Let the parallel sides of the trapezium be 'a' and 'b'.
One of the sides is 10 m and the distance between the two parallel sides is 15 m.

The area of trapezium
$=\frac{1}{2}\times$ Sum of the length of the two parallel sides $\times$ distance between the two parallel sides

600 = $\frac{1}{2}$ (a + b) × 15

$\frac{600\times 2}{15}$ = (a + b)

a + b = 80

b = 80 – 10 = 70 m

Length of the other parallel side = 70 m