Question

the area of a trapezium is 156 sq. cm. if one of the parralel side is 9 cm and the distance between them Is 12 cm, find the length of the other parralel side.​

Answer 1

Answer:

Let the other parallel side be x cm.

Given,

Area = 156 sq. cm

First Parallel side = 9 cm

Height = 12 cm

Area of trapezium = 1/2 * Sum of parallel sides * height

$\frac{1}{2} \times (9 \: cm + x \: cm) \times 12 \: cm = 156 \: {cm}^{2} \\ (9 \: cm + x \: cm)6 \: cm = 156 \: {cm}^{2} \\ 9 \: cm + x \: cm = \frac{156 \: {cm}^{2} }{6 \: cm} \\ 9 \: cm + x \: cm = 26 \: cm \\ x \: cm = 26 \: cm - 9 \: cm \\ x = 17$

Therefore, the length of other parallel side is 17 cm.

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