Hi, Ptaverez1! :)
First we must length of an individual square; This can be achieved by using the formula for the area of a square:
[tex]l^2[/tex]
[tex]l=Length[/tex]
Lets input the information we already know:
[tex]l^2=42.25[/tex]
Take square root.
[tex]l=\sqrt42.25 [/tex]
[tex]l=6.5[/tex]
The length of an individual square tile is 6.5 ft.
Since they're are 9 tiles and the porch in a square, I can conclude that the measurements for the porch are 3 tiles by 3 tiles (as 3*3=9; using the formula for the area of a square.)
Since the length of the porch is 3 tiles, we must multiply the individual tiles piece length by 3:
[tex]3*6.5[/tex]
[tex]=19.5[/tex]
The formula for the perimeter of a square is:
[tex]l*4[/tex]
[tex]l=length[/tex]
Lets input the information we know:
[tex]19.5*4[/tex]
[tex]=78[/tex]
The perimeter of the porch is 78 feet²
Hope this helps.
-Benjamin
