A trapezium of area 140 m has parallel sides 10cm apart and one of these sides is 16 cm long find the length of the other parallel sides?

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Answer

1171885

2026-04-16 06:05

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The area of the trapezium cannot be 140 metres since the latter is a length, not an area. Suppose the area is 140 m2 = 1400000 cm2

Suppose the length of the second parallel side is x cm.

Area of trapezium = 1/2*(sum of lengths of parallel sides*distance between them)

ie 1400000 = 1/2*[(16+x)*10]

280000 = 16+x so x = 279984 cm = 2.79984 kilometres.

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