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

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

Area of field = 1 2 * 5 x + 3 x * 24 = 96x sq.m 96x = 1440 => x = 1440 96 = 15 Hence, the length of longer parallel side = 5x = 75m

75
85
95
105

Correct Answer: 75

Explanation:

Area of field = $\frac{1}{2} * 5 x + 3 x * 24$ = 96x sq.m

96x = 1440 => x = $\frac{1440}{96}$ = 15

Hence, the length of longer parallel side = 5x = 75m

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