One of parallel sides of a trapezium is twice the other side . if the height of the trapeizum is 8cm and its area is 132cm , find the length of the parallel sides
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10 cm, 20 cm
Let the lengths of the two parallel sides of the trapezium be x cm and 2x cm respectively.
We know that
Area of the trapezium
=
2
1
(Sum of parallel sides) × (Distance between them)
∴180=
2
1
(x+2x)×12
or 180×2=3x×12
or 180×2=3x×12
or 36x=360
or x=10
∴ The sides of the trapezium are 10 cm and 20 cm respectively.
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