SOLUTION: 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.Set up an equation for the perimeter involving only

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Question 227779: 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.Set up an equation for the perimeter involving only W, the width of the rectangle. “On The Question About The Rectangle Being 90 Centimeters, I Also Was Needing The Equation Algebraically To Find Length Of The Rectangle And The Width As Well?
Answer by drj(1380) About Me  (Show Source):
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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. Set up an equation for the perimeter involving only W, the width of the rectangle. “On The Question About The Rectangle Being 90 Centimeters, I Also Was Needing The Equation Algebraically To Find Length Of The Rectangle And The Width As Well?

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

6w%2B6=90

Subtract 6 from both sides of the equation

6w%2B6-6=90-6

6w=84

Divide by 6 to both sides of the equation

6w%2F6=84%2F6

w=14

For w=14 , then 2w%2B3=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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