Question

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

Answer 1

Answer:

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

9x×5x=14580

45x

2

=14580

x

2

=324

x=18

Hence, length=162m and breadth=90m.

Perimeter = 2(l+b)=2(162+90)=2(252)=504m

Therefore,

Cost of fencing = 504×3.25=1638 Rs.

hope it helps u ☺️❤️☑️

Answer 2

Answer:

Rs. 1638

Step-by-step explanation:

length = 9x

breadth = 5x

area = l X b

14580= 9x X 5x

14580/ 45= x2

324 = x2

18 = x

the cost of surrounding the field with a fence

= 2 X (l +b)

= 2 X (9X 18 + 5 X 18)

= 2 X (162+ 90)

= 2X 252

= 504 m

the cost of 504 m surrounding the field

= Rs. 3.25 X 504

= Rs. 1638