Sonia has finished fencing 1/5th 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 3/4th of the area. What is the breadth of the rectangular garden?
Sonia has finished fencing 1/5th 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 3/4th of the area. What is the breadth of the rectangular garden? Correct Answer 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
11/20th 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.