We have a square garden of 400 square foot.
The area of a square is:
[tex]A=x^2[/tex]where x: side length.
In this case:
[tex]\begin{gathered} A=400=x^2 \\ x=\sqrt[]{400}=20\text{ ft} \end{gathered}[/tex]The perimeter of the square is the sum of the lengths of the sides of the square. As they are all equal, we can write:
[tex]P=4x=4\cdot20=80\text{ ft}[/tex]The fencing is priced at $1.50 per foot. If we add the 7% sales tax to this price we get:
[tex]C=1.50\cdot(1+0.07)=1.50\cdot1.07=1.605\text{ \$/ft}[/tex]The fencing will be installed in all the perimeter (80 ft).
We can calculate the total cost by multiplying the sales price ($1.605 per foot) and the perimeter (80 ft):
[tex]F=C\cdot P=1.605\frac{\text{\$}}{\text{ft}}\cdot80\text{ ft}=\$128.40[/tex]Answer: the fencing will cost a total of $128.40
