# If the base is x+5, what's the height, area and perimeter of a square?

Sep 23, 2015

Height: $x + 5$
Area: ${x}^{2} + 10 x + 25$
Perimeter: $4 x + 20$

#### Explanation:

A square is a rectangle whose sides are all equal.

Height
We are told that the base of the square is $x + 5$. Because all sides of a square are equal, its height must also be $\textcolor{b l u e}{x + 5}$.

Area
To get the area of a square, you simply have to get the square of one of its side (because all of its sides are equal). That would be $\textcolor{b l u e}{{\left(x + 5\right)}^{2}}$ or $\textcolor{b l u e}{{x}^{2} + 10 x + 25}$.

Perimeter
The perimeter is the sum of all of the sides of a polygon. Since a square has 4 sides and all of its sides are $x + 5$, we can get the perimeter by multiplying $x + 5$ by 4. The perimeter is $\textcolor{b l u e}{4 \left(x + 5\right)}$ or $\textcolor{b l u e}{4 x + 20}$.