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:

A 75

B  85

C 95

D 105

Solution

Correct Answer: Option A

Area of field = \(\frac12\ast\left(5x+3x\right)\ast24\)= 96x sq.m  

96x = 1440       

=> x = \(\frac{1440}{96}\)

= 15 

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

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