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Question
The length and the breadth of a rectangular field are in the ratio 5: 4 and its area is 3380 m2. Find the cost of fencing it at the rate of ₹75 per m.
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Solution
Ratio in length and breadth = 5 : 4
Area of rectangular field = 3380 m2
Let length = 5x and breadth = 4x
5x x 4x = 3380
=> 20x2= 3380
x2 = `3380/20` = 169 = (13)2
x = 13
Length = 13 x 5 = 65 m
Breadth =13 x 4 = 52 m
Perimeter = (l + b) = 2 x (65 + 52) m = 2 x 117 = 234 m
Rate of fencing = ₹ 75 per m
Total cost = 234 x 75 = ₹ 17550
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