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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
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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