# The ratio of the parallel sides of a trapezium is 3 : 2. the distance between them is 15 cm. If the area of the trapezium is 1350 cm2. Find the differ

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The ratio of the parallel sides of a trapezium is 3 : 2. the distance between them is 15 cm. If the area of the trapezium is 1350 cm2. Find the difference between the lengths of the parallel sides ?
1. 18 cm
2. 90 cm
3. 36 cm
4. 24 cm

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Correct Answer - Option 3 : 36 cm

Given:

The ratio of the parallel sides of a trapezium is 3 : 2.

Area of the trapezium is 1350 cm2

The distance between two parallel side is 15 cm.

Formula used:

Area of trapezium = 1/2 × (sum of parallel side)× distance between two parallel sides

Calculation:

Let the parallel side of the trapezium be 3x and 2x

According to the question,

Area of trapezium = 1/2 × (sum of parallel side)× distance between two parallel sides

⇒ 1350 = 1/2 × (3x + 2x)× 15

⇒ 5x/2 = 90

⇒ x = 90 × 2/5

⇒ x = 36 cm

Difference between two parallel side

⇒ 3 × 36 – 2 × 36

⇒ 36 cm

∴ The difference between lengths of the parallel sides is 36 cm.