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The cost of fencing a rectangular field at Rs.24 per meter is Rs.1,920. If its length is 23 m, find its breadth.
Question

The cost of fencing a rectangular field at Rs.24 per meter is Rs.1,920. If its length is 23 m, find its breadth.

A.

17m

B.

18m

C.

20m

D.

19m

Correct option is A

Given:

Cost of fencing = Rs. 1,920

Cost of fencing per meter = Rs. 24

Length of the field = 23 m
Formula Used:

Perimeter of a rectangle = 2(Length + Breadth)
Solution:

=> Perimeter of the field = Rs. 1,920 ÷ Rs. 24

=> Perimeter of the field = 80 m

=> 2(23 m + Breadth) = 80 m

=> 46 m + 2 × Breadth = 80 m

=> 2 × Breadth = 80 m - 46 m

=> 2 × Breadth = 34 m

=> Breadth = 34 m ÷ 2

=> Breadth = 17 m

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