the difference of the parallel sides of a trapezium field is 20m. it's area is 450m2 and its altitude is 15m. find the length of the parallel sides
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⟹x=44
Hence, length of other parallel side CD is 44 m.
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Class 8
>>Maths
>>Mensuration
>>Area of Polygon
>>The area of trapezium shape
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The area of trapezium shaped field is 480m
2
, the distance between two parallel sides is 15cm and one of the parallel sides is 20m. Find the other parallel side.
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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 m
2
,height(h)=15 m (Given)
We know that, A(□ABCD)=
2
(AB+CD)
×h
⟹480=
2
20+x
×15
⟹
15
2×480
=20+x
⟹64=20+x
⟹x=44
Hence, length of other parallel side CD is 44 m.
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