The area of a rectangular garden of length 40 m, is 1000 sq m. Find th

1.	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» 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.

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»

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.

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