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Question

The area of a trapezium is 1586 cm2 and the distance between its parallel sides is 26 cm. If the length of one of the parallel sides is 84 cm, then find the length of other parallel side.

A
38 cm
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B
23 cm
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C
25 cm
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D
42 cm
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Solution

The correct option is A 38 cm
Area of trapezium
= 12×(a+b)×h,
where a and b are the lengths of the parallel sides and h stands for the perpendicular distance between the parallel sides.

12×(84+b)×26=1586 cm2

(84+b)×13=1586

(84+b)=158613=122

b=12284

b=38 cm

So, the length of the other parallel side is 38 cm.

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