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Question

The length of the parallel sides of a trapezium is in the ratio 10: 13 and the distance between them is 25 cm. If the area of trapezium is 575 cm2, find the length of the parallel sides.

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Solution

The ratio of parallel sides of the trapezium = 10: 13.

Distance between them = 25 cm

Area of trapezium = 575 cm2

Let the common ratio be 𝑥,

Then, the parallel sides are 10x, 13x

Area of trapezium formula is 12(a + b) h

Area of trapezium = 575 cm2

12(10x+13x)25=575

23x×25=575×2

575x=1310

x=2

the parallel sides of the trapezium are 10 × 2 = 20 cm , 13 × 2 = 26 cm

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