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Question

The cost of fencing a rectangular field at Rs 30 per metre is Rs 2400. If the length of the field is 24 m, then its breadth is
(a) 8 m
(b) 16 m
(c) 18 m
(d) 24 m

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Solution

(b) 16 m
Total cost of fencing = Rs 2400
Rate of fencing = Rs 30/m
Perimeter of the rectangular field = Total costRate=Rs 2400Rs 30/m=80 m
Let the breadth of the rectangular field be x m.
Perimeter of the rectangular field = 2(24 + x) m
2(24+x)=8048+2x=802x=(80-48)2x=32x=322=16So, the breadth of the rectangular field is 16 m.

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