The area and height of the trapezium are and 4cm. One of its parallel sides is 10cm. The

length of the other parallel side is ____cm.

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Detailed Solution

Concept: The length of the other parallel side would be 7cm. The specified area and height of the trapezoid are

and 4 cm, and the length of one of the parallel sides is 10 cm. Use the area of the trapezoidal formula

. where h is the height of the trapezoid and a and b are the lengths of the parallel sides of the trapezoid. Substitute the area, height, and values of one parallel side to find the length of another parallel side.
Question Image

Assume that the area and height of the trapezoid is 34 cm2 and 4 cm. One of its parallel sides is 10 cm long. You need to find another parallel side length. The area of the trapezoid is 34 cm2
The formula for finding the area of the trapezoid is

The values of a and h are already known. You need to find the value of b. Replaces the values of a and h in

The length of another parallel side is 7 cm.
Hence, the answer is 7 cm

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