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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.

Answer:

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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