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The area of a field in the shape of a trapezium measures 1440m^2. The perpendicular distance between its parallel sides is 24m. If the ratio of the parallel sides is 5 : 3, the length of the longer parallel side is :
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Explanation:
Ratio of parallel sides = 5 : 3
Let sides are 5x and 3x
area =1/2(sum of parallel sides)× perpendicular distance =1440m^2
1/2(5x+3x)×24=1440
4x×24=1440
x=1440/4×24=15m
∴ Length of longer side = 5x
=5×15=75m