Question

The length of the parallel sides of a trapezium are in the rat: 3 : 2 and the distance between them is 10 cm. If the area of trapezium is 325 cm², find the length of the parallel sides. 

Answer 1

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Let the common ration be x, 

Then the two parallel sides are 3x, 2x 

Distance between them = 10 cm

Area of trapezium = 325 cm²

Area of trapezium = 1/2 (p₁ + p₂) h

325 = 1/2 (3x + 2x) 10

⇒ 325 = 5x × 5 

⇒ 325 = 25x

⇒ x = 325/25

Therefore, 3x = 3 × 13 = 39 and 2x = 2 × 13 = 26 

Therefore, the length of parallel sides area are 26 cm and 39 cm. 

Answer 2

RATIO BE 2x and 3x
parallel sides=3x and 2x
area of trapezium=325cm2
Area of trapezium=1/2(p1+p2)h
325=(3x+2x)5
325=5x×5
325=25x
x=325/25=13

so, the lengths of parallel sides are
2×13=26cm
3×13=39cm