Question

The perimeter of a square is $60m$, find:​

1. its each side.​
2. Its area.​
3. Its new area obtained on increasing each of its sides by $2m$.

Answer 1

Step 1: Finding the side of the square:
Given,
The perimeter of a square is $60m$
We know that,
The Perimeter of a square is given by,
$P=4\left(side\right)$
$60=4\left(side\right)$
$side=\frac{60}{4}$
$side=15m$
Therefore, the length of each side of the given square is $15m$.

Step 2: Calculating the area of the square :
The area of the square is given by:
$=Sid{e}^2$
$=15\times 15$
$=225m^2$
Therefore, the area of the given square is $225m^2$

Step 3: Calculating the area of the square after increasing its side by $2m$:
New length after increasing each side by $2m=15+2=17m$
Therefore,
The area of the square is given by:
$=Sid{e}^2$
$=17\times 17$
$=289m^2$

Hence, the new area of the square is $289m^2$.