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
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Step-by-step explanation:
Area of the Trapezium = 165 cm²
Height of the Trapezium = 10 cm
Let one side of trapezium be x, then other side parallel to it will be 2x.
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 length of two parallel sides are 11cm and 22cm respectively.
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