One side of a rectangle is 5 inches and the other side is x inches. What values of x will make the perimeter at least 26
2(x+5) >= 26
x+5 >= 13
...
To find the perimeter of a rectangle, you add up the lengths of all four sides. In this case, one side is given as 5 inches, and the other side is represented by x inches.
So, the perimeter P of the rectangle is given by the formula:
P = 2(Length + Width),
where Length represents the side measuring 5 inches, and Width represents the side measuring x inches.
Given that the perimeter must be at least 26 inches, we can set up the following inequality:
2(5 + x) ≥ 26.
Now, let's solve this inequality to find the values of x that satisfy the condition:
2(5 + x) ≥ 26
10 + 2x ≥ 26
2x ≥ 26 - 10
2x ≥ 16
x ≥ 16/2
x ≥ 8.
Therefore, any value of x greater than or equal to 8 will make the perimeter at least 26 inches.