Question

it's costs 5400 to fence a square field at 13.50 per meter. find (i) the length of the side of the field (ii) the length of the side of the field the area of the field.​

Answer 1

Given,

Total cost $\[ = 5400\]$

Rate of fencing $\[ = 13.50per\,meter\]$

Solution,

Calculate the area of the square field,

$\[\begin{array}{l} = \frac{{5400}}{{13.50}}\\ = 400{m^2}\end{array}\]$

Know that in case of square the length and width will be same.

(i) the length of the side of the field.

Consider the length of the field is l.

$\[\begin{array}{l}{l^2} = 400{m^2}\\ \Rightarrow l = 20m\end{array}\]$

Length of side of the field$\[ = 20m\]$

(ii) the length of the side of the field the area of the field.​

Length of side of the field$\[ = 20m\]$

Area of the side of the field is equal to perimeter of the square.

$\[\begin{array}{l} = 4l\\ = 4 \times 20\\ = 80m\end{array}\]$

Hence the length of side of field is 20m and area of side of the field is 80m.