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.
