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 20 m. Find the other parallel side.

• A. 30 m
• B. 120 m
• C. 60 m
• D. 80 m

Answer 1

The correct option is C 60 m

Let the parallel sides of the trapezium be a and b.
Given: One of the sides is 20 m and the distance between two parallel lines is 15 m.

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

$\Rightarrow 600=\frac{1}{2}\times (a+b)\times 15$

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

$\Rightarrow (a+b)=80$

$\Rightarrow b=80–20=60m$

$\therefore$ Length of the other parallel side is 60 m.