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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.
asked
May 10, 2019
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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.
Mathematics
high-school
MofX
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MofX
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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.
Laura Corssac
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May 16, 2019
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Laura Corssac
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