Correct Answer - Option 3 : 9 cm
Given:
Area of Trapezium = 88 cm2
Height = 16 cm
Difference of parallel sides = 7 cm
Formula Used:
Area of trapezium = 1/2 × Sum of parallel sides × Height
Calculation:
Let assume one of the parallel sides be x
Second parallel side = y
⇒ Difference of parallel sides = (x - y) = 7 ...................(1)
Area of trapezium = 1/2 × Sum of parallel sides × Height
⇒ 88 = 1/2 × (x + y) × 16
⇒ 11 = (x + y) ............................(2)
From equation (1) and (2)
⇒ x = 9
⇒ y = 2
∴ Measurement of longer side is 9 cm.
The correct option is 3 i.e. 9 cm