Question

The area of a trapezium is 684cm^2 and the distance between it's parallel sides is 24 cm. If one of the parallel sides is 20cm, find the other?

Answer 1

Answer:

Another side is 37cm

Explanation:

Given,

Area of a trapezium is 684cm² and the distance between it's parallel sides is 24cm. one of the parallel side measures 20cm.

We know that,

Area of a trapezium is :-

→ ½(a + b)*h

Where,

• a and b denotes the parallel sides and one of the side is 20cm.
• h is the distance between the parallel sides is 24cm.

So here, we need to find the another parallel side.

From the given data,

→ 684 = ½(20 + b)*24

→ 684 = (20 + b)12

→ 684 = 240 + 12b

→ 684 - 240 = 12b

→ 444 = 12b

→ 444/12 = b

→ b = 37

∴ Another side of the trapezium is 37cm.

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Formula used:

Area of a trapezium = ½(a + b)h