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Question

If the area of a trapezium is 28 cm2 and one of its parallel sides is 6 cm, find the other parallel side if its altitude is 4 cm.

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Solution

Given:Area of the trapezium = 28 cm2Length of one of its parallel sides = 6 cmAltitude = 4 cmLet the other side be x cm.Area of trapezium=12×(Sum of the parallel sides)×(Altitude)28=12×(6+x)×(4)28=2×(6+x)6+x=282=14x=14-6=8 cmHence, the length of the other parallel side of the trapezium is 8 cm.

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