Answer:
Part a) The inequality that models this problem is
Part b) The greatest possible value for the width is 10.6 centimeters
Step-by-step explanation:
Part a) Which inequality models this problem?
Let
l ----> the length of the rectangle in cm
w ---> the width of the rectangle in cm
we know that
The perimeter of the rectangle is equal to
Remember that
The term "at most" means "less than or equal to"
so
----> inequality A
---> equation B
substitute equation B in the inequality A
---> inequality that model the problem
Part b) what is the greatest possible value for the width?
solve for w
Divide by 10 both sides
therefore
The greatest possible value for the width is 10.6 centimeters