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One of the parallel sides of a trapezium is 5cm longer than the other. If the prependicular distance between them is 9cm and area is 126cm 2 , find the length of the parallel sides.
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One of the parallel sides of a trapezium is 5cm longer than the other. If the

prependicular
distance between them
is 9cm and area is 126cm
2
, find the length
of the parallel sides.

User MofX
by
7.9k points

1 Answer

6 votes
The area of a trapezium is the product of height and average base length. The average base length is
(126 cm^2)/(9 cm) = 14 cm

One base is half the difference longer than this, 16.5 cm; the other is half the difference shorter, 11.5 cm.
User Laura Corssac
by
8.1k points
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