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.

Advertisement Remove all ads

#### 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

Is there an error in this question or solution?

#### APPEARS IN

Advertisement Remove all ads