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Question
The length and breadth of a rectangular field are in the ratio 7 : 4. If its perimeter is 440 m, find its length and breadth. Also, find the cost of fencing it @ ₹150 per m.
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Solution
Given : Perimeter = 440 m
Let the length of rectangular field = 7x and breadth = 4x
2(l + b) = Perimeter
2(7x + 4x) = 440m
2(11x) = 440m
22x = 440m
x =`440/22`
x = 20m
∴ Length = 7x = 7 x 20 = 140m
Breadth = 4x = 4 x 20 = 80m
Cost of fencing per m = ₹150
Cost of fencing 440 m = ₹150 x 440 = ₹66,000
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