The length and breadth of a rectangular piece of land are in the ratio of 5: 3. If the
total cost of fencing it at the rate of 48 per metre is 19,200, find its length and
breadth.
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Length and the breadth of a rectangle are of the ratio 5:3
Cost of fencing is ₹24 per m
Total cost = 9000
Length & Breadth of the rectangle
Solution
Let,
Length = 5x
Breadth = 3x
✭ Perimeter
→ Perimeter = Total Cost/Cost per m
→ Perimeter = 9000/24
→ Perimeter = 400 m
✭ Finding x
→ Perimeter = 2(l+b)
→ 400 = 2(5x+3x)
→ 400/2 = 8x
→ 200 = 8x
→ 200/8 = x
→ x = 25
✭ Length and Breadth
→ Length = 5x = 5×25 = 125 m
→ Breadth = 3x = 3×25 = 75 m
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