SOLUTION: The perimeter of a rectangle is to be no greater than 300 in., and the length must be 125 in. Find the maximum width of the rectangle.

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Question 63878: The perimeter of a rectangle is to be no greater than 300 in., and the length must be 125 in. Find the maximum width of the rectangle.
Answer by tutorcecilia(2152) About Me  (Show Source):
You can put this solution on YOUR website!
Since the perimeter is not more than 300in:
Perimeter <=300
Using the formula for a perimeter: P=2(length+width), plug-in the values
2(lenth+width)<=300 inches
2(125+w)<=300 [solve for w]
250+2w<=300
2w<=300-250
2w<=50
w<=25 [any width larger or greater than 25 will not work]
.
checking:
2(125+50)<=300
2(175)<=300
300<=300 [checks out]
.