Question

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

Answer 1

Height: `x+5`
Area: `x^2+10x+25`
Perimeter: `4x+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 `color(blue)(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 `color(blue)((x+5)^2)` or `color(blue)(x^2+10x+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 `color(blue)(4(x+5))` or `color(blue)(4x+20)`.