Question

The area of a trapezium is 480 cm2, the distance between two parallelsides is 15 cm and one of the parallel side is 20 cm. The other parallelside is: *

Answer 1

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Complete step by step answer:

Where AB and EC are two parallel sides. AD is the distance between them.

Area of trapezium = (l(AB)+l(EC))2l(AD)

Where, l(AB), l(EC) and l(AD) length of side AB, EC and AD, respectively.

Given that one of the parallel sides has length 32 cm say that side be EC and the distance between parallel sides be AD = 24 cm. Area of trapezium = 720 cm2.

Area of trapezium = (l(AB)+l(CE))2l(AD)

Area of trapezium = (l(AB)+32)2(24)

720=(l(AB)+32)2(24)

720=(l(AB)+32)(12)

By dividing both sides by 12, we get

72012=(l(AB)+32)

l(AB)+32=60

By subtracting 32 on both sides, we get

l(AB)=60−32

l(AB)=28

Hence the length of other parallel side AB is 28 cm.

Note:

In this problem, one should know the Area of trapezium and its has two parallel sides with different length