SOLUTION: The perimeter of rectangular poster is 80 inch. The length is 10 inches greater than the width. Find the length.

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Question 225266: The perimeter of rectangular poster is 80 inch. The length is 10 inches greater than the width. Find the length.
Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
The perimeter of rectangular poster is 80 inch. The length is 10 inches greater than the width. Find the length.

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 w+10 be the length since the length is 10 inches greater than the width

Step 4. Then, P=w+w+w+10+w+10=80.

Step 5. Solving yields the following steps

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


YOUR ANSWER


  • This is an equation! Solutions: w=15.
  • Graphical form: Equation w%2Bw%2Bw%2B10%2Bw%2B10=80 was fully solved.
  • Text form: w+w+w+10+w+10=80 simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+w%2Bw%2Bw%2B10%2Bw%2B10=80+%29
    For tutors: simplify_cartoon( w+w+w+10+w+10=80 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at w%2Bw%2Bw%2Bhighlight_red%28+10+%29%2Bw%2Bhighlight_red%28+10+%29=80.
Added fractions or integers together
It becomes w%2Bw%2Bw%2Bhighlight_green%28+20+%29%2Bw=80.
Look at w%2Bw%2Bw%2Bhighlight_red%28+20+%29%2Bw=80.
Moved 20 to the right of expression
It becomes w%2Bw%2Bw%2Bw%2Bhighlight_green%28+20+%29=80.
Look at .
Eliminated similar terms highlight_red%28+w+%29,highlight_red%28+w+%29,highlight_red%28+w+%29,highlight_red%28+w+%29 replacing them with highlight_green%28+%281%2B1%2B1%2B1%29%2Aw+%29
It becomes highlight_green%28+%281%2B1%2B1%2B1%29%2Aw+%29%2B20=80.
Look at .
Added fractions or integers together
It becomes %28highlight_green%28+4+%29%29%2Aw%2B20=80.
Look at highlight_red%28+%28highlight_red%28+4+%29%29%2Aw+%29%2B20=80.
Remove unneeded parentheses around factor highlight_red%28+4+%29
It becomes highlight_green%28+4+%29%2Aw%2B20=80.
Look at 4%2Aw%2B20=highlight_red%28+80+%29.
Moved these terms to the left highlight_green%28+-80+%29
It becomes 4%2Aw%2B20-highlight_green%28+80+%29=0.
Look at 4%2Aw%2Bhighlight_red%28+20+%29-highlight_red%28+80+%29=0.
Added fractions or integers together
It becomes 4%2Aw%2Bhighlight_green%28+-60+%29=0.
Look at 4%2Aw%2Bhighlight_red%28+-60+%29=0.
Removed extra sign in front of -60
It becomes 4%2Aw-highlight_green%28+60+%29=0.
Look at highlight_red%28+4%2Aw-60+%29=0.
Solved linear equation highlight_red%28+4%2Aw-60=0+%29 equivalent to 4*w-60 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: w=15.

Universal Simplifier and Solver


Done!



For w=15 , then w+10=25 and P=2(15+25)=80 which is a true statement.

Step 6. ANSWER: The length is 25 inches.

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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