The length of a rectangle is 5 times its width. Therefore, we can let the variable x represent the width of the rectangle and the term 5x represent the length.
We know that the perimeter of a rectangle can be found by adding twice the width to twice the length and we are told that the perimeter can't be more than 96 centimeters.
2W + 2L = P
2W + 2L ≤ 96
Now, we can substitute in our terms and simplify.
2(x) + 2(5x) ≤ 96
2x + 10x ≤ 96
12x ≤ 96
x ≤ 8
We know that the width is equal to x, thus, the width cannot be more than 8 centimeters.
Hope this helps! :)
