Question

If the side of a square is $m$, find an expression for the perimeter and area of the square.

• A. Perimeter $=m$
  Area $=m^2$
• B. Perimeter $=2m$
  Area $=m^2$
• C. Perimeter $=3m$
  Area $=m^2$
• D. Perimeter $=4m$
  Area $=m^2$

Answer 1

The correct option is D Perimeter $=4m$

Area $=m^2$
We are given with a square of side $m$ as shown:

Perimeter of a square $=$ Sum of all its sides
$=Side+Side+Side+Side$
$=4\times Side$
$=4\times m$ (As the side of the square is $m$)

Perimeter of the square $=4m$

Area of a square $=Side\times Side$
$=m\times m$
$=m^{1+1}$ (As $a^m\times a^n=a^{m+n}$)
$=m^2$
Area of the square $=m^2$

The perimeter of the square of side $m$ is $4m$ and its area is $m^2$.
Therefore, option (d.) is the correct answer.