Question

The area of a rectangular garden of length 40 m, is 1000 sq m. Find the breadth of the garden and its perimeter. The garden is to be enclosed by 3 rounds of fencing, leaving an entrance of 4 m. Find the cost of fencing the garden at a rate of Rs 250 per metre.

Answer 1

Length of the rectangular garden = 40 m 

Area of the rectangular garden = 1000 sq. m. 

∴ length × breadth = 1000 

∴ 40 × breadth = 1000

∴ breadth = 1000/40

= 25 m

Now, perimeter of the rectangular garden = 2 × (length + breadth)

= 2 (40 + 25) 

= 2 × 65 

= 130 m

Length of one round of fence = circumference of garden – width of the entrance

= 130 – 4 

= 126 m

∴ Total length of fencing = length of one round of wire × number of rounds = 126 × 3

= 378 m

∴ Total cost of fencing = Total length of fencing × cost per metre of fencing

= 378 × 250 

= 94500 

∴ The cost of fencing the garden is Rs 94500.