SOLUTION: The length of the rectangular tennis court at wimbledon is 6 feet longer than twice the width. If the courts perimeter is 228 feet,what are the courts dimensions

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Question 215920: The length of the rectangular tennis court at wimbledon is 6 feet longer than twice the width. If the courts perimeter is 228 feet,what are the courts dimensions
Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
The length of the rectangular tennis court at Wimbledon is 6 feet longer than twice the width. If the courts perimeter is 228 feet,what are the courts dimensions

Step 1. Let w be the width and let w+6 be the length.

Step 2. Perimeter P is when you add up all four sides of the rectangle. That is,

P=w%2Bw%2Bw%2B6%2Bw%2B6=228

4w%2B12=228

Step 3. Solving yields the following steps. Subtract 12 from both sides of the equation.

4w%2B12-12=228-12

4w=216

Divide 4 to both sides of the equation

4w%2F4=216%2F4

w=54
With w=54 then w+6=60 and P=54+54+60+60=228...which is a true statement.

Step 4. ANSWER. The width is 54 feet and the length is 60 feet.

I hope the above steps 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.

Good luck in your studies!

Respectfully,
Dr J