The length and breadth of a rectangular field are in the ratio 9: 5. If the area of the field is 14580 square meters, find the cost of surrounding the field with a fence at the rate of 3.25 per meter.

Given :

The length and breadth of a rectangular field are in the ratio 9:5.

Area of the field $=14580$ sq m.

Cost of fencing per meter $=₹3.25$.

To do :

We have to find the cost of fencing the rectangular field.

Solution :

Let the length and breadth of the field be 9x and 5x respectively.

Area of the field $=14580$ sq.m.

We know that,

The area of a rectangle of length l and breadth b is $l \times b$.

Therefore,

Area of the field$=(9x)\times (5x)$ 

$14580 = 45 x^2$

$\frac{14580}{45} = x^2$

$324 = x^2$

$x = 18$

So, length (l)$=9 (18) = 162 m$

Breadth(b)$=5(18) =90 m$

The perimeter of the rectangle $=2(l+b)$

                                                  $= 2(162+90) = 2(252) = 504$

Cost of fencing the field $=$ Perimeter $\times$ Cost of fencing per meter

                                          $ = 504 \times 3.25 = 1638$

Therefore, the total cost of fencing the field is ₹1638.

Tutorialspoint

Simply Easy Learning

Updated on: 10-Oct-2022

438 Views

Kickstart Your Career

Get certified by completing the course

Get Started