Question

A playing ground is in the shape of trapezium. The area of this ground is 1864.5 m² and the distance between the two parallel sides is 33 m. If the difference between the two parallel sides is 9 m then find the length of the longer side.
1. 61 cm
2. 70 cm
3. 52 cm
4. 65 cm

Answer 1

Correct Answer - Option 1 : 61 cm

Given:

Area of ground = 1864.5 m2 

Distance between the two parallel sides = 33 m

difference between the two parallel sides is 9 m

Formula Used:

Area of trapezium = 1/2 × Sum of parallel sides × Height 

Calculation: 

Let the longest side of the trapezium be 'l'

Shortest side of the trapezium = l - 9

⇒ (1/2) × (l + l - 9) × 33 = 1864.5

⇒ (2l - 9) × 33 = 3729

⇒ 2l - 9 = 113

⇒ 2l = 122

⇒ l = 61

∴ The longest side of the trapezium is 61 cm