Question

The length and breadth of a rectangular field are in the ratio 7:5 and its perimeter is 384.find the cost of reaping the field at rs 1.25 per sq.metre

Answer 1

Let length = 7x
Let breadth = 5x
Therefore, perimeter = 2( l + b )
2(7x + 5x) = 384m
2 * 12x = 384m
24x = 384m
x = 384m/24 = 16m
Length = 7 * 16 = 112m
Breadth = 5 * 16 = 80m
Area = lb
112m * 80m = 8960m^2
Cost of reaping the field per m^2 = Rs. 1.25
Therefore, cost of reaping 8960m^2 = Rs. 1.25 * 8960 = Rs. 11200
Therefore, cost of reaping the field = Rs. 11200