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Question

Arrange the trapeziums in decreasing order(from top) of its area for given sum of parallel sides and altitude.

A
18, 12
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B
24, 10
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C
20, 8
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D
22, 14
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Solution

Area of a trapezium
=12×(a+b)×h
where a and b are the parallel sides and h is the height.

Hence, area of given trapeziums will be
12×24×10 = 120 cm2
12×18×12 = 108 cm2
12×20×8 = 80 cm2
12×22×14 = 154 cm2

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