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Question

The area of trapezium shaped field is 480m2, the distance between two parallel sides is 15cm and one of the parallel sides is 20m. Find the other parallel side.

A
44m
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B
42m
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C
43m
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D
None of these
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Solution

The correct option is A 44m
Let ABCD be a trapezium with parallel sides AB and CD
Let AB=20 ....... (Given) and CD=x
A(ABCD)=480 m2,height(h)=15 m .......... (Given)
We know that, A(ABCD)=(AB+CD)2×h
480=20+x2×15
2×48015=20+x
64=20+x
x=44
Hence, length of other parallel side CD is 44 m.

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