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Question
The area of a rectangular garden of length 40 m, is 1000 sqm. 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 250 rupees per metre.
Solution
Length of the garden = 40 m
Area = 1000 sq m
⇒ lb = 1000
⇒ 40b = 1000
⇒ b = 25 m
Perimeter = 2 (l + b) = 2 (40 + 25) = 130 m
For 1 round of fencing leaving the entrance of 4 m, the length of wire required = 130 m - 4 m = 126 m
For 3 such rounds of fencing, 3 × 126 m = 378 m of wire required.
Rate of fencing 1 m = Rs 250
Rate of fencing 378 m = 378 × 250 = Rs. 94500
Thus, Rs 94500 is required for fencing the garden.
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