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Which inequality models this problem? 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?

a.2w 2⋅(5w)<962w 2⋅(5w)<96

b.2w 2⋅(5w)≥962w 2⋅(5w)≥96

c.2w 2⋅(5w)≤962w 2⋅(5w)≤96

d.2w 2⋅(5w)>96

Verified Answer :

If the perimeter is at most 96 centimeters, the greatest possible value for the width is letter a which is 2w 2⋅(5w)<962w 2⋅(5w)<96 since the length of the rectangle is 5 tiems it width. I hope my answer it helps. Thank you for posting your question here.

The greatest possible value for the width is 8 centimeters.

Perimeter of rectangle :

If the width of rectangle is w and given that the length of a rectangle is five times its width.

Then, the length of rectangle \(=5w\)

Perimeter of rectangle is,

                   \(Perimerer=2(length+width)\\\\Perimeter=2(5w+w)=12w\)

Since, if the perimeter is at most 96 centimeters.

the greatest possible value for the width is,

                                  \(12w\leq 96\\\\w\leq \frac{96}{12}\\ \\w\leq 8\)

Learn more about the perimeter here:

https://brainly.com/question/19819849

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