Question

The area of a field in the shape of a trapezium measures 1440 m². The perpendicular distance between its parallel sides is 24 m. If the ratio of the parallel sides is 5 : 3, the length of the longer parallel side is :

• A. 75 m
• B. 120 m
• C. 60 m
• D. 45 m

Answer 1

Answer:

A. 75 m

Let the parallel sides be 5x and 3x metres.

Area of trapezium $=\frac{1}{2}$(sum of parallel sides) × distance between them

=>1440=\frac{1}{2}(5x+3x)\times{24}

$12\times{8x}=1440$

=>x=\frac{1440}{12\times{8}}=15

The longer parallel side = 5x = 5 × 15 = 75 metres