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. 45 m
• B. 60 m
• C. 75 m
• D. 12 m

Answer 1

Answer: (C)

75 m

Answer 2

The correct option is (C); Let lengths of longer parallel side and shorter side be $5x$ and $3x$ m respectively.
Area of trapezium = \frac{1}{2}$$\times(height)$\times$(sum of parallel sides)
\frac{1}{2}$$\times24$\times$($5x$ + $3x$) = 1440
12\times$$8x = 1440
$x$ = 15
$\therefore$ Length of longer side 15$\times$5 = 75 m