SOLUTION: the width of a rectangle is one third of the length.If the perimeter is 20 cm,find the width.
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Question 225037: the width of a rectangle is one third of the length.If the perimeter is 20 cm,find the width.
Answer by drj(1380) (Show Source): You can put this solution on YOUR website!
The width of a rectangle is one third of the length. If the perimeter is 20 cm,find the width.
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 the length since the width is one-third the length
Step 4. Then P=w+w+3w+3w=8w=20 since the perimeter P is 20 cm.
Step 5. Solving the equation in Step 4 leads to the following steps
Divide by 8 to both sides of the equation
and 3w=15/2 and P=2(5/2+15/2)=20 which is a true statement.
Step 6. ANSWER: The width is 5/2 cm.
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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