<PRE><B>Question 222997</B>
The perimeter of a rectangle is 44 meters.  The length is 2 meters more than the three times the width. Find the length.


Step 1.  The perimeter P means adding up all four sides of a rectangle.


Step 2.  Let w be the width


Step 3.  Let 3w be three times the width


Step 4.  Let 3w+2 be the length since it is 2 meters more than three times the width


Step 5.  Then P=w+w+3w+2+3w+2=8w+4=44 since the perimeter P is 44 meters.


Step 6.  Solving the equation in Step 4 leads to the following steps


{{{8w+4=44}}}


Subtract four from both sides


{{{8w+4-4=44-4}}}


{{{8w=40}}}


Divide by 8 to both sides of the equation


{{{8w/8=40/8}}}


{{{w=5}}} and 3w+2=15+2=17 and P=2(5+17)=44 which is a true statement.


Step 7.  The length is 17 meters.


I hope the above steps and explanation were helpful. 


For Step-By-Step videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry please visit http://www.FreedomUniversity.TV/courses/Trigonometry. 


Also, good luck in your studies and contact me at john@e-liteworks.com for your future math needs.


Respectfully, 
Dr J





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