SOLUTION: If the perimeter of a rectangular fence is to be at least 100 feet and no more than 190 feet, and if the length of the fence must be 22 feet, which of the following inequalities be

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: If the perimeter of a rectangular fence is to be at least 100 feet and no more than 190 feet, and if the length of the fence must be 22 feet, which of the following inequalities be      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 899714: If the perimeter of a rectangular fence is to be at least 100 feet and no more than 190 feet, and if the length of the fence must be 22 feet, which of the following inequalities best describes the range of values for the width of the fence?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +p+ = perimeter of fence
+100+%3C=+p+%3C=+190+
+p+=+2W+%2B+2L+
+L+=+22+
+2L+=+44+
+p+=+2W+%2B+44+
-----------------
+100+%3C=+2W+%2B+44+%3C=+190+
Subtract +44+ from the 3 parts
of inequality
+56+%3C=+2W+%3C=+146+
Divide through by +2+
+28+%3C=+W++%3C=+73+
---------------------
check:
suppose +W+=+73+
+2W+=+146+
+2L+=+44+
+p+=+146+%2B+44+
+p+=+190+
You can check lower limit