Question

the area of trapezium is 300M2 the perpendicular distance between the two parallel sides is 15m if the difference of parallel sides is 16m find the length of parallel sides
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Answer 1

Given :-

Area of trapezium = 300 m²

The perpendicular distance between the two parallel sides is 15m if the difference of parallel sides is 16m

To Find :-

Length of parallel side

Solution :-

Let the parallel sides be x and x - 16

Area = 1/2 × (a + b) h

300 = 1/2 × (x - 16 + x) × 15

300 = 1/2 × (2x - 16) × 15

300 × 2/15 = (2x - 16)

20 × 2 = 2x - 16

40 = 2x - 16

40 + 16 = 2x

56 = 2x

56/2 = x

28 = x

First parallel side = x = 28 m

Second parallel side = x - 16 = 28 - 16 = 12 m