Q. 53.9( 13 Votes )

# A lawn is in the

Answer :

Given: Cost of fencing lawn = Rs 65 per metre.

Area of lawn = 3375 m^{2}

Length: Breadth = 5: 3

Let,

Length = 5x

Breadth = 3x

We know that,

Area of lawn = Length × Breadth

⇒ 3375 m^{2} = 5x × 3x

⇒ 3375 m^{2} = 15x^{2}

⇒ x^{2} = 225 m^{2}

⇒ x = 15 m

Therefore,

Length = 5x = 5 × 15 = 75 m

Breadth = 3x = 3 × 15 = 45 m

Now,

Perimeter of lawn = 2(length + breadth)

= 2(75 m + 45 m)

= 2 × 120 m

= 240 m

Hence,

Cost of Fencing = 240 m × Rs 65 per meter

= Rs 15600

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