Question 227757
Suppose that the length of a rectangle is three cm longer than twice the width and that the perimeter of the rectangle is 90 cm.


Step 1.  The perimeter P means adding up all the four sides of a rectangle.


Step 2.  Let w be the width.


Step 3.  Let 2w+3 be the length since the length is three cm longer than twice the width.


Step 4.  Then, P=w+w+2w+3+2w+3=90.


Step 5.  Solving yields the following steps


*[invoke explain_simplification "w+w+2w+3+2w+3=90" ]


For w=14 , then 2w+3=31 and P=2(14+31)=90 which is a true statement.


Step 6.  ANSWER:  The width is 14 cm and the length is 31 cm.


I hope the above steps were helpful. 


For free Step-By-Step Videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra or for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.


And good luck in your studies!


Respectfully,
Dr J


drjctu@gmail.com


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