Question

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

Answer 1

SOLUTION :

The length and breadth of a rectangle are in ratio = 9:5 respectively (given)

The area of the rectangular field = 14580 m sq.     (given)

To be found :-

The cost fencing the field at Rs 3.25 per m

The fencing is done on the perimeter of the rectangular field

Let

length of the rectangular field be 9x m

breadth of the rectangular field be 5x m

Area of the rectangular field = lb unit sq.

[ In which l is the length and b is the breadth of the rectangular field ]

⇒ 14580 = 9x*5x

⇒ 14580 = $45x^{2}$

⇒ 14580 ÷ 45 =  $x^{2}$    [Transporting 45 to LHS ]

⇒ 324 =  $x^{2}$

⇒ $\sqrt{324}$ = x

⇒ 18 = x

∴ Value of x is 18

Now,

length of the rectangular field be 9x m = 9*18 = 162 m

breadth of the rectangular field be 5x m = 5*18 = 90 m

Now,

Perimeter of the rectangular field = 2(l+b) units

[ In which l is the length and b is the breadth of the rectangular field ]

= 2(162 + 90) m

= 2 × 252

= 504 m

So,

If the cost of fencing 1 m = Rs 3.25

Than the cost for fencing the rectangular field will be

= 3.25 × 504

= Rs 1638

Hence,

The cost of fencing the rectangular field is Rs 1638

Answer 2

Answer:

the cost of fencing the rectangular field is rs 1638