Question

the area pf a trapezuim is 165sq.m and its height is 10cm.If one of the parallel sides is doubled of the other, then find the two parallel sides​

Answer 1

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Let one side of trapezium is x, then other side parallel to it = 2x

Area of trapezium = 165 cm²

Height of trapezium = 10 cm

Now, area of trapezium = 1/2 (p₁ + p₂) × h

⇒ 165 = 1/2(x₁ + 2x) × 10

⇒ 165 = 3x × 5

⇒ 165 = 15x

⇒ x = 165/15

⇒ x = 11

Therefore, 2x = 2 × 11 = 22

Therefore, the two parallel sides are of length 11 cm and 22 cm.

Answer 2

Let the sides of parallel sides be x and 2x