A lawn is in the form of a rectangle whose sides are in the ratio 5 : 3. The area of the lawn is 3375 m^2. Find the cost of fencing the lawn at ₹65 per metre.
Cost of fencing lawn = ₹ 65 per metre.
Area of lawn = 3375 m^2
Length: Breadth = 5: 3
Length = 5x
Breadth = 3x
We know, Area of lawn = Length x Breadth
3375 = 5x(3x)
3375 = 15x^2
225 = x^2
or x = 15 m
Therefore,
Length = 5x = 5 x 15 = 75 m
Breadth = 3x = 3 x 15 = 45 m
Now, Perimeter of lawn = 2(length + breadth)
= 2(75+ 45)
= 2 x 120
= 240
Perimeter is 240 m
Cost of Fencing = 240 x 65 per meter = Rs. 15600.
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