Question

Find the cost of fencing a rectangular lawn at rs 3.50 per meter if itsbarea is 2160 m^2 and the sides are in the ratio of 5:3

Answer 1

this is the answer of this question

Answer 2

Given :

Area is 2160 m^2 and the sides are in the ratio of 5:3

To Find :

Find the cost of fencing a rectangular lawn at rs 3.50 per meter

Solution:

We are given that the sides are in the ratio of 5:3

Let the ratio be x

So, Length of lawn = 5x

Breadth of lawn = 3x

Area of lawn = $Length \times Breadth = 5x \times 3x = 15x^2$

We are given that the area of lawn is 2160 sq.m.

So,$15x^2 = 2160 \\\Rightarrow x^2 = \frac{2160}{15}\\\Rightarrow x=\sqrt{\frac{2160}{15}}\\\Rightarrow x = 12$

So, Length of lawn = 5x=5(12)=60 m

Breadth of lawn = 3x=3(12)=36 m

Perimeter of lawn =2(l+b)=2(60+36)=192 m

So, cost of 1 fencing 1 m = Rs.3.50

Cost of fencing 192 m = $3.50 \times 192 =672$

Hence The cost of fencing a rectangular lawn at rs 3.50 per meter is Rs.672