The perimeter of a square is to between 14 and 44 feet, inclusively. Find all possible values for the length of its sides.
7 <= x+y <= 22
So, just start listing
x y
1 6..21
2 5..20
.
.
.
6 1..16
Oops. That is just the integer lengths.
I'm sure you can set down the two inequalities restricting x and y.
square not rectangle I think
14 <= 4 s <= 44
so
3.5 <= s <= 11
duh -- read twice, write once.
To find all the possible values for the side length of a square given its perimeter constraints, we can use the following steps:
1. Let's denote the side length of the square as "s".
2. The perimeter of a square is given by the formula P = 4s, where P represents the perimeter and s represents the side length.
3. Since we know that the perimeter is between 14 and 44 feet inclusively, we can set up the following inequality: 14 ≤ 4s ≤ 44.
4. To solve this inequality for s, we can divide all sides of the inequality by 4: 14/4 ≤ s ≤ 44/4.
5. Simplifying the inequality, we have 3.5 ≤ s ≤ 11.
6. Therefore, all possible values for the length of the square's sides fall within the range of 3.5 feet to 11 feet inclusively.