The distance between two parallel sides of a trapezium is 15 m and its area is 480 m2. If one of the parallel sides is 20 m, then the length of the other side is:
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 44 m
The area of a trapezium is half the sum of the parallel sides times the distance between them: \(A=\frac{1}{2}(a+b)h\).
With one parallel side 20 m and the height 15 m: \(\frac{1}{2}(20+b)\times15=480\)
\(20+b=\displaystyle\frac{480\times2}{15}=64\)
\(b=44\) m