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The area of a trapezium is 660 cm² and the length of one of the parallel sides is 28 cm. If its height is 30 cm, find the length of the other parallel side.​

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Answer: 16 cm

The length of the other parallel side = 16 cm

Explanation:

Area of trapezium = 1/2 (sum of two || sides) × height

Given the area of a trapezium is 660 cm² and the length of one of the parallel sides is 28 cm.

its height is 30 cm

Let us assume the length of the other parallel side is 'x' cm.

Plugging the required values in the above formula,

660 = 1/2 (28 + x) 30

solving the equation for x,

660 = (28 + x ) 15

Divide both sides by 15,

660/15 = (28 + x)

44 = (28 + x)

Subtract 28 from both sides,

44 - 28 = x

16 = x

x = 16 cm

Hence, the length of the other parallel side is 16 cm

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