The perimeter of a square must be less than 160 feet. What is the maximum length of a side in feet? (Translate into inequality and solve)
So, when you solve it would be 40 < x is the answer
160/4 <= x
Yes. You're right.
Each side is 40 feet or less.
Ok. thank you.
You are welcome.
To solve this problem, we will translate the given statement into a mathematical inequality and then solve for the maximum length of a side of a square.
Let's denote the length of a side of the square as 's.' The perimeter of a square is calculated by multiplying the length of one side by 4. So, the perimeter of the square can be expressed as 4s.
The given statement states that "the perimeter of a square must be less than 160 feet." Therefore, we can write the inequality as:
4s < 160
To solve the inequality for s, we need to isolate the variable 's' on one side of the inequality sign. Let's divide both sides of the inequality by 4:
(4s)/4 < 160/4
Simplifying, we get:
s < 40
So, the maximum length of a side of the square is 40 feet.
Note: It's important to note that the inequality is strict, i.e., s < 40 and not s ≤ 40, as the perimeter has to be less than 160 feet and not equal to 160 feet.