# A Lawn is in the Form of a Rectangle Whose Sides Are in the Ratio 5 : 3. the Area of the Lawn is 3375m^2 . Find the Cost of Fencing the Lawn at ₹ 65 per Metre. - Mathematics

A lawn is in the form of a rectangle whose sides are in the ratio 5 : 3. The area of the lawn is 3375m^2 . Find the cost of fencing the lawn at ₹ 65 per metre.

#### Solution

Let the length and breadth of the rectangular lawn be 5xmand3 xm, respectively.

Given:

Area of the rectangular lawn  3375m^2

⇒3375=5x xx 3x

⇒3375=15x^2

⇒3375/15=x^2

⇒225=x^2

⇒ x=15

Thus, we have:

l=5x=5xx15=75m

b=3x=3xx15=45 m

Perimeter of the rectangular lawn =2(l+b)

=2(75+45)

=2(120)

=240 m

Cost of fencing 1 m lawn = Rs 65

∴ Cost of fencing 240 m lawn = 240xx65=Rs 15,600

Concept: Area of Circle
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#### APPEARS IN

RS Aggarwal Secondary School Class 10 Maths
Chapter 17 Perimeter and Areas of Plane Figures
Q 5