Correct Answer - Option 3 : 30 cm
Given:
The area of a trapezium = 714 cm2
height = 28 cm
The difference in the length of parallel side = 9 cm
Formula Used:
The area of trapezium = 1/2 × (Sum of parallel sides) × Height
Calculation:
Let assume that the measurement of one parallel side be a
The second side be a + 9
The area of trapezium = 1/2 × (Sum of parallel sides) × Height
⇒ 714 = 1/2 × (a + a + 9) × 28
⇒ a = 21 cm
⇒ The measurement of one parallel side is 21 cm
⇒ The measurement of second parallel side is = 21 + 9 = 30 cm
∴ The measurement of longer side is 30 cm
The correct option is 3 i.e. 30 cm