Question

Sonia has finished fencing 1/5^th of the area of the rectangular garden which is 20 ft long. When she finished fencing another 330 sq. ft of the garden, she would have finished 3/4^th of the area. What is the breadth of the rectangular garden?

1. 30 ft
2. 42 ft
3. 45 ft
4. 35 ft
5. None of these

Answer 1

Correct Answer - Option 1 : 30 ft

Given:

Length of rectangular garden = 20 ft

(3/4 – 1/5)^th of the garden = 330 sq. ft

Formula Used:

Area of rectangular garden = length × breadth

Perimeter of rectangular garden = 2(length + breadth)

Calculation:

(3/4 – 1/5)^th of the area of garden = 330 sq. ft

11/20^th of the area of garden = 330 sq. ft

The whole area of the garden = (330/11) × 20

⇒ 600 sq. ft

Length of garden = 20 ft

Area of garden = 20 × Breadth

⇒ 600 = 20 × breadth

⇒ Breadth = 600/20

⇒ Breadth = 30 ft

∴ The breadth of the rectangular garden is 30 ft.