SOLUTION: The perimeter of a rectangle is 70 m. The length is 8 meters more than twice the width. Find the length and width. Thank you in advance.

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Question 227731: The perimeter of a rectangle is 70 m. The length is 8 meters more than twice the width. Find the length and width.
Thank you in advance.
Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
The perimeter of a rectangle is 70 m. The length is 8 meters more than twice the width. Find the length and width.

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 2w+8 be the length since the length is 8 meters more than twice the width

Step 4. Then, P=w+w+2w+8+2w+8=70.

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=9.
  • Graphical form: Equation w%2Bw%2B2w%2B8%2B2w%2B8=70 was fully solved.
  • Text form: w+w+2w+8+2w+8=70 simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+w%2Bw%2B2w%2B8%2B2w%2B8=70+%29
    For tutors: simplify_cartoon( w+w+2w+8+2w+8=70 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at w%2Bw%2B2%2Aw%2Bhighlight_red%28+8+%29%2B2%2Aw%2Bhighlight_red%28+8+%29=70.
Added fractions or integers together
It becomes w%2Bw%2B2%2Aw%2Bhighlight_green%28+16+%29%2B2%2Aw=70.
Look at w%2Bw%2B2%2Aw%2Bhighlight_red%28+16+%29%2B2%2Aw=70.
Moved 16 to the right of expression
It becomes w%2Bw%2B2%2Aw%2B2%2Aw%2Bhighlight_green%28+16+%29=70.
Look at .
Eliminated similar terms highlight_red%28+w+%29,highlight_red%28+w+%29,highlight_red%28+2%2Aw+%29,highlight_red%28+2%2Aw+%29 replacing them with highlight_green%28+%281%2B1%2B2%2B2%29%2Aw+%29
It becomes highlight_green%28+%281%2B1%2B2%2B2%29%2Aw+%29%2B16=70.
Look at .
Added fractions or integers together
It becomes %28highlight_green%28+6+%29%29%2Aw%2B16=70.
Look at highlight_red%28+%28highlight_red%28+6+%29%29%2Aw+%29%2B16=70.
Remove unneeded parentheses around factor highlight_red%28+6+%29
It becomes highlight_green%28+6+%29%2Aw%2B16=70.
Look at 6%2Aw%2B16=highlight_red%28+70+%29.
Moved these terms to the left highlight_green%28+-70+%29
It becomes 6%2Aw%2B16-highlight_green%28+70+%29=0.
Look at 6%2Aw%2Bhighlight_red%28+16+%29-highlight_red%28+70+%29=0.
Added fractions or integers together
It becomes 6%2Aw%2Bhighlight_green%28+-54+%29=0.
Look at 6%2Aw%2Bhighlight_red%28+-54+%29=0.
Removed extra sign in front of -54
It becomes 6%2Aw-highlight_green%28+54+%29=0.
Look at highlight_red%28+6%2Aw-54+%29=0.
Solved linear equation highlight_red%28+6%2Aw-54=0+%29 equivalent to 6*w-54 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: w=9.

Universal Simplifier and Solver


Done!



For w=9 , then 2w+8=26 and P=2(9+26)=70 which is a true statement.

Step 6. ANSWER: The width is 9 meters and length is 26 meters.

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
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