Question

The cost of fencing a square field at ₹ 125 per metre is ₹ 8125. Find the length of each side of the field.​

Answer 1

Cost of fencing per m= 125rs

Cost of fencing the whole field=Rs.8125

Area of field= 8125÷125=65m^2

Side of each field=65/4=16.25m

Answer 2

The length of each side of the field is 16.25 m

Step-by-step explanation:

Given data

• Total length of square field = 4×Side

       Total cost of fencing of square field (C) = 8125 Rs.

       Rate of fencing of square field (R) = 125 Rs. per metre

• So

       $\mathbf{\textrm{Total length of fencing}(P)=\frac{Total \ Cost}{Rate}}$

       $\mathbf{\textrm{Total length of fencing}(P)=\frac{8125}{125}}$

       Total length of fencing of square field (P) = 65 m

• We also know that total length of square field = 4×Side

        Total length of fencing of square field (P) = 65 m

        4×Side = 65

• On solving

        Side = 16.25 m = This is the length of each side of the square field.