Question

The length and breadth of A rectangular field are in the ratio of 3:2.if the area of field is4096 sq. M. Find the cost of fencing the field at the rate of Rs. 5 per m

Answer 1

Ratio of length and breadth is 3:2 (l:b)

Area = l*b = 294

3x * 2x = 294

6x^2 = 294

x^2 = 294/6

x^2 = 49

x= square root of 49

x= +/- 7.

Length and Breadth can not be negative hence x=7

l:b = 3:2 => 3x:2x => 21:14

Area = l*b = 21*14 = 294

Circumference of Rectangle= 2*(l+b)

=2*(21+14)

= 2*35 = 70m

Cost to fence per meter = 28

cost to fence 70m = 28*70

=1960