Question

If the cost of fencing a rectangular field at Rs. 7.50 per metre is Rs. 600, and the length of the field is 24 m, then the breadth of the field is

(a) 8 m
(b) 18 m
(c) 24 m
(d) 16 m

Answer 1

(d) 16 m
Cost of fencing the rectangular field = Rs. 600
Rate of fencing the field = Rs. 7.50 per m
Therefore, perimeter of the field = $\frac{Costoffencing}{Rateoffencing}$ = $\frac{600}{7.50}$ = 80 m
Now, length of the field = 24 m
Therefore, breadth of the field = $\frac{Perimeter}{2}-$ Length
= $\frac{80}{2}-$ 24 = 16 ​m