Question

The perimeter of a square is at most 22 feet. Let N represent the length of one side of the square

Answer 1

Part A

P = perimeter of square
P = add up the four sides
P = N+N+N+N
P = 4*N
where N is the side length of the square

The perimeter of the square is at most 22 ft, which means 22 ft is the largest the perimeter can be. Think of it as the ceiling. 

So P = 22 or P < 22. We can combine those two ideas to get $P \le 22$ (P is less than or equal to 22)

Replace P with 4N and solve for N
$P \le 22$

$4N \le 22$ 

$\frac{4N}{4} \le \frac{22}{4}$ divide both sides by 4

$N \le \frac{11}{2}$

$N \le 5.5$

The side length N can be 5.5 ft or smaller

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Part B

The result we got from part A above was $N \le 5.5$ which means N can be equal to 5.5 or it can be smaller than 5.5

So this describes N = 2.5, N = 4.8, and N = 5.2
The values N = 5.8 and N = 6 are too big

So the answers to part B are 2.5 ft, 4.8 ft, and 5.2 ft