Question

The side of a square field is $16m$. What will be the increase in its area, if:
$\left(i\right)$ Each of its sides is increased by $4m$

Answer 1

Calculating the original Area of square

Given,

Length of each side of the square field $=16m$.

The area of the square field is given by:
Area = (Side)${}^2$

$\Rightarrow \text{Area}=16\times 16$

$\Rightarrow \text{Area}=256m^2$

Calculating the new area of the square

According to the question,

New length of the side $=16+4=20m$


Therefore,

The area of the new square field:

New Area = (Side)${}^2$

$\Rightarrow \text{New Area}=20\times 20$

$\Rightarrow \text{New Area}=400m^2$

Calculating the increase in the area

Increase in the area

= New Area – Original Area

$=400–256$

$=144m^2$

Therefore, the increase in the area of the square field is $144m^2$.