Answer: [tex]49\ ft^2[/tex]
Step-by-step explanation:
The formula that is used to calculate the area of a square is this one:
[tex]A=s^2[/tex]
Where "s" is the side lenght of the square
You know that Julia used 1 foot square stone tiles, then each side lenght of the this tiles is:
[tex]s_{tile}=\sqrt{1\ ft^2}\\\\s_{tile}=1\ ft[/tex]
Since Julia laid 7 tiles wide by 7 tiles long, the side lenght of the new patio is:
[tex]s_{patio}=7(1\ ft)\\\\s_{patio}=7\ ft[/tex]
Therefore its area is:
[tex]A_{patio}=(7\ ft)^2\\\\A_{patio}=49\ ft^2[/tex]
