Correct Answer - Option 3 : 36 cm
Given:
Ratio of the length of the parallel sides of a trapezium = 3 : 2
Height of trapezium = 15 cm
Area of trapezium = 1350 cm2
Formula used:
Area of trapezium = {(Sum of parallel sides)/2} × height
Calculations:
Let the length of parallel sides be 3x and 2x.
Area of trapezium = {(3x + 2x)/2} × 15
⇒ (5x/2) × 15 = 1350
⇒ 75x/2 = 1350
⇒ x = 36
Difference of parallel sides = 3x - 2x = x = 36 cm
∴ The difference of the lengths of the parallel sides is 36 cm.