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Question
The area of a trapezium is 1586 sq.cm. The distance between its parallel sides is 26 cm. If one of the parallel sides is 84 cm then find the other side
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Solution
Given one parallel side = 84 cm.
Let the other parallel side be ‘b’ cm.
Distance between a and b is h = 26 cm.
Area of the trapezium = 1586 sq.cm
`1/2 xx "h" xx ("a" + "b")` = 1586
`1/2 xx 26 xx (84 + "b")` = 1586
84 + b = `1586/13`
= 84 + b
= 122
b = 122 − 84
= 38 cm
∴ The other parallel side = 38 cm.
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