Answer:
Perimeter of a square is given by:
[tex]P =4a[/tex]
where P is the perimeter of a square and a is the length of each side of a square.
As per the statement:
You want to use a square section of your yard for a garden. You have at most 52 feet of fencing to surround the garden.
use conversion:
1 feet = 0.333333 yards.
52 feet = 17.3333 yards.
"At most" means less than [tex]'\leq'[/tex]
then, we have an inequality ,i.e,
[tex]4a \leq 17.3333[/tex] .....[1]
Solve for a:
Divide both sides by 4 in [1] we get;
[tex]a\leq 4.33[/tex]
Therefore, the possible length of each side of the garden should be less than equal to 4.33 yard