the area of a trapezium is 847cm squared. if the ratio of the parallel sides is 9:2 and the distance between them is 14cm, find the length of the parallel sides.
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Step-by-step explanation:
Let the parallel sides = 9x and 2x
h= 14cm
the area of a trapezium = 847cm²
1/2 (a+b) h = 847
(9x +2x) 14 = 847 × 2
11x= ( 847 × 2) / 14
x = (847 × 2) / 14 × 11
= 11
a = 9x= 9*11 = 99cm
b = 2x = 2*11 = 22cm
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