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

1 Answer
Sep 23, 2015

Answer:

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)#.