Question

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

Answer 1

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. 

Answer 2

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:

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