Question

The area of a trapezium-shaped field is 1200 sq.m, the distance between two parallel sides is 10 m and one of the parallel sides measures 200 m. Find the length of the other parallel side.

• A. 40 m
• B. 50 m
• C. 60 m
• D. 70 m

Answer 1

The correct option is A

40 m

Let the parallel sides of the trapezium be a and b.
One of the sides (a) = 200 m
The distance between two parallel sides = 10 m.
Area of the trapezium field = 1200 m²

$\text{Area of the trapezium}=\frac{1}{2}\times \text{(Sum of the length of the}\text{parallel sides)}\times \text{(Distance between}\text{the parallel sides)}$

$1200=\frac{1}{2}\times (a+b)\times 10$

$\frac{1200\times 2}{10}=(a+b)$

$a+b=240$

$b=240–200\text{(Since one of the parallel sides measures}\text{200 m.)}b=40m$

$\text{Length of the other parallel side}=40m$