The ratio of the length of the parallel sides of a trapezium is 4:1. The distance between them is 10cm . If the area of the trapezium is 500 cm^2 find the length of the parallel sides
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given :-
ratio between the Length of the parallel sides of the trapezium 4 : 1
let the parallel sides be 4x and x Respectively.
height of the trapezium is given 10cm.
→ 1/2 × h (b1 + b2) = 500cm²
→ 1/2 × 10 (4x + x) = 500cm²
→ 5 (4x + x) = 500cm²
→ 20x + 5x = 500cm²
→ 25x = 500cm²
→ x = 500/25
→ x = 20cm
hence, the Length of the parallel sides are :-
1. 4x = 4 × 20 = 80cm
2. x = 20cm
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