Question

Parallel sides of a trapezium are in the ratio 3:4. If the distance between the parallel sides in 9 cm and its area is 126 cm^2. Find the length of its parallel sides

Answer 1

let the parallel sides be 3x and 4x

area=126cm^2

area of trapezium = 1/2×(sum of ||el sides)×(distance between them)

so,

126=1/2 × (3x + 4x) × 9

126=1/2 × 7x × 9

252=63x

x=252/63

x=4

so , ||el sides are

(i)3x=3×4=12cm

(ii)4x=4×4=16cm

so, 16cm and 12cm

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