The length and bredth of a rectangular field are in d ratio 5:3.If the cost of reaping the field at 85paise per sq. Meter is Rs.624.75,find the cost of fencing it at the rate of Rs. 4per meter.
Plz give me full solutn nd ans is Rs.448
area is 5x*3x = 15x^2
perimeter is 2(5x+3x) = 16x
reaping costs .85*15x^2 = 12.75x^2
fencing costs 4*16x = 64x
12.75x^2 = 624.75
x = 7
64 * 7 = 448
Thank u :)
To find the cost of fencing the rectangular field, we need to find the perimeter of the field and then multiply it by the cost per meter.
Given that the length and breadth of the field are in the ratio 5:3, let's assume that the length is 5x and the breadth is 3x, where x is a common factor.
We know that the area of a rectangle is equal to the product of its length and breadth. So, the area of the field is (5x * 3x) = 15x^2.
Given that the cost of reaping the field at the rate of 85 paise per square meter is Rs. 624.75, we can set up the equation:
15x^2 * 0.85 = 624.75
12.75x^2 = 624.75
x^2 = 624.75 / 12.75
x^2 = 49
x = √49
x = 7
Now, we can find the length and breadth of the field:
Length = 5x = 5 * 7 = 35 meters
Breadth = 3x = 3 * 7 = 21 meters
To find the perimeter, we use the formula: Perimeter = 2 * (Length + Breadth)
Perimeter = 2 * (35 + 21) = 2 * 56 = 112 meters
Finally, we can find the cost of fencing the field at the rate of Rs. 4 per meter:
Cost of fencing = Perimeter * Cost per meter
Cost of fencing = 112 * 4 = Rs. 448
Therefore, the cost of fencing the rectangular field is Rs. 448.