Question

5. The cost of fencing a rectangular field at Rs. 24 per meter is Rs. 1920. If its length is 23 m, find its
breadth.​

Answer 1

Answer:

$cost \: of \: fencing \: a \: rectangular \: field = rs.24 \: per \: meter \\ cost \: of \: fencing = perimeter \times 24 \\ 1920 = perimeter \times 24 \\ \frac{1920}{24} = perimeter \\ 80m = perimeter \\ \\ 80m = 2(l + b) \\ \frac{80}{2} = 23 + b \\ 40 = 23 + b \\ 40 - 23 = b \\ 17m = breadth$

Answer 2

cost of fencing per m = 24

Total cost for fencing= 1920

let the breadth be x

length = 23

perimeter= 2( L+B)

2(23+x)

46+2x

As per question,

cost of rectangular plot at rate of 24 per m is 1920

therefore, 24× perimeter= 1920

or, 24×46+2x

1104+2x= 1920

2x= 1920-1104= 816

x= 816/2

x= 48 = Breadth ans