SOLUTION: Use an inequality to solve the problem. Be sure to show the inequality and all of your work. One side of a rectangle is 14 inches and the other is x inches. What values of x w

Algebra ->  Average -> SOLUTION: Use an inequality to solve the problem. Be sure to show the inequality and all of your work. One side of a rectangle is 14 inches and the other is x inches. What values of x w      Log On


   

Question 536663: Use an inequality to solve the problem. Be sure to show the inequality and all of your work.
One side of a rectangle is 14 inches and the other is x inches. What values of x will make the perimeter at most 80 inches?
Answer by fcabanski(1391) About Me  (Show Source):
You can put this solution on YOUR website!
P = 2L + 2W.


In this case call L=14 and W=x.


x may turn out to be more than 14 and L is usually the longer dimension. But it really isn't important which is called L and which is W.


At most 80 inches means P <=80.


2(14) + 2x <= 80.


28 + 2x <= 80


Subtract 28 from both sides.


2x <= 52


Divide both sides by 2.


x <= 26


It turns out x is really the length, the longer measure, but it wasn't important to the calculation.

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