Question

The area of a field in the shape of a trapezium measures 1440 `m^2` . 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 :


Options:
A .  45 m
B .  60 m
C .  75 m
D .  120 m
Answer: Option C

Area of field = `[1/2 xx (5x + 3x) xx 24] m^2` =  ` 96x m^2`

`:.`    `   96x = 1440`

`hArr     x = 1440/96`

`hArr   x = 15`

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



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