SOLUTION: Perimeter of a rectangle. The perimeter of a rectangular backyard is 6x + 6 yards. If the width is x yards, find a binomial that represents the length.

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Question 225971: Perimeter of a rectangle. The perimeter of a rectangular backyard is 6x + 6 yards. If the width is x yards, find a binomial that represents the length.
Answer by drj(1380) About Me  (Show Source):
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Perimeter of a rectangle. The perimeter of a rectangular backyard is 6x + 6 yards. If the width is x yards, find a binomial that represents the length.

Step 1. Perimeter P means adding up all the sides of the rectangles.

Step 2. Let L be the length and x be the width.

Step 3. Then P=x+x+L+L=2x+2L

Step 4. But P=6x+6=2x+2L. Solving for L yields the following steps:

Subtract 2x from both sides of the equation

6x%2B6-2x=2x%2B2L-2x



2x%2B3=L

Step 5. ANSWER. The length of the rectangle is L=2x%2B3

I hope the above steps and explanation were helpful.

For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.

And good luck in your studies!

Respectfully,
Dr J
http://www.FreedomUniversity.TV