The length of a rectangle is five times its width. if the perimeter is at most 96 centimeters, what is the greatest possible value for the width?

40 cm
19.2 cm
16 cm
8 cm

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! :)