SOLUTION: a rectangle carpet has a perimeter of 236 inches. The length of the carpet is 22 inches more than the width. what are the carpets dimensions...?

Algebra ->  Algebra  -> Customizable Word Problem Solvers  -> Geometry -> SOLUTION: a rectangle carpet has a perimeter of 236 inches. The length of the carpet is 22 inches more than the width. what are the carpets dimensions...?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

   

Question 223655: a rectangle carpet has a perimeter of 236 inches. The length of the carpet is 22 inches more than the width. what are the carpets dimensions...?
Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
A rectangle carpet has a perimeter of 236 inches. The length of the carpet is 22 inches more than the width. what are the carpets dimensions...?

Step 1. Perimeter P means adding up all 4 sides of a rectangle.

Step 2. Let w be the width.

Step 3. Let w+22 be the length.

Step 4. Then, P=w+w+w+22+w+22=4w+44=236

Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • Here's what you tried:
  • This is an equation! Solutions: w=48.
  • Graphical form: Equation 4w%2B44=236 was fully solved.
  • Text form: 4w+44=236 simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+4w%2B44=236+%29
    For tutors: simplify_cartoon( 4w+44=236 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at 4%2Aw%2B44=highlight_red%28+236+%29.
Moved these terms to the left highlight_green%28+-236+%29
It becomes 4%2Aw%2B44-highlight_green%28+236+%29=0.
Look at 4%2Aw%2Bhighlight_red%28+44+%29-highlight_red%28+236+%29=0.
Added fractions or integers together
It becomes 4%2Aw%2Bhighlight_green%28+-192+%29=0.
Look at 4%2Aw%2Bhighlight_red%28+-192+%29=0.
Removed extra sign in front of -192
It becomes 4%2Aw-highlight_green%28+192+%29=0.
Look at highlight_red%28+4%2Aw-192+%29=0.
Solved linear equation highlight_red%28+4%2Aw-192=0+%29 equivalent to 4*w-192 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: w=48.

Universal Simplifier and Solver


Done!



With w=48 and w%2B22=70. And P=2%2848%2B70%29=236 which is a true statement

Step 5. ANSWER: The width is 48 inches and the length is 70 inches.

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