5 The area of a trapezium is 54 cm^2. The length of one of the parallel sides is 8 cm and the height is 6 cm. Find the length of the other parallel side.​

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The length of the other parallel side is 10 cm.

Trapezium is a quadrilateral (has four sides and four angles) with a pair of parallel sides. The area (A) of a trapezium is given by:

A = (1/2)(a + b)h

where a and b are the length of the parallel sides, h is the height of the trapezium

Given A = 54, a = 8 cm, h = 6 cm, hence:

54 = (1/2)(8 + b)6

8 + b = 18

b = 10 cm

The length of the other parallel side is 10 cm.

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