Question

The cost of enclosing a rectangular garden with a fence around, at the rate of 75 paise per metre, is rupees 300. If the length of the garden is 120 metres, find the area of the field in square metres.

Answer 1

Let the Breadth of the Rectangular Garden be : B

Given that the Length of the Rectangular Garden as : L = 120

We know that the Perimeter of Rectangle As : 2(L + B)

⇒ Perimeter of the Rectangular Garden = 2(120 + B) metre

Given that Each metre of Enclosed Fence is 75 paise = 0.75 Rupee

⇒ The Cost of the Entire Enclosed Fence = 2(120 + B) × 0.75

⇒ The Cost of the Entire Enclosed Fence = (240 + 2B) × 0.75

⇒ The Cost of the Entire Enclosed Fence = (240 × 0.75 + 2B × 0.75) Rupees

⇒ The Cost of the Entire Enclosed Fence = (180 + 1.5B)

But it is given that The Cost of the Entire Enclosed Fence = 300 Rupees

⇒ 180 + 1.5B = 300

⇒ 1.5B = 120

⇒ B = 80 metre

⇒ Area of the Rectangular Garden = L × B = 120 × 80 = 9600m²