SOLUTION: the length of a rectangle is 8 m more than 6 times the width. the perimeter is 156 m. find the width.

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Question 222921: the length of a rectangle is 8 m more than 6 times the width. the perimeter is 156 m. find the width.
Answer by drj(1380)   (Show Source): You can put this solution on YOUR website!
The length of a rectangle is 8 m more than 6 times the width. The perimeter is 156 m. Find the width.

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

Step 2. Let w be the width.

Step 3. Let 6w+8 be the length.

Step 4. Then P=w+w+6w+8+6w+8=156 m.

Step 5. Solving the equation in Step 4 leads to the following steps:

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


YOUR ANSWER


  • This is an equation! Solutions: w=10.
  • Graphical form: Equation was fully solved.
  • Text form: w+w+6w+8+6w+8=156 simplifies to 0=0
  • Cartoon (animation) form:
    For tutors: simplify_cartoon( w+w+6w+8+6w+8=156 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at .
Added fractions or integers together
It becomes .
Look at .
Moved 16 to the right of expression
It becomes .
Look at .
Eliminated similar terms highlight_red%28+w+%29,highlight_red%28+w+%29,highlight_red%28+6%2Aw+%29,highlight_red%28+6%2Aw+%29 replacing them with highlight_green%28+%281%2B1%2B6%2B6%29%2Aw+%29
It becomes .
Look at .
Added fractions or integers together
It becomes .
Look at .
Remove unneeded parentheses around factor highlight_red%28+14+%29
It becomes .
Look at .
Moved these terms to the left highlight_green%28+-156+%29
It becomes .
Look at .
Added fractions or integers together
It becomes .
Look at .
Removed extra sign in front of -140
It becomes .
Look at .
Solved linear equation highlight_red%28+14%2Aw-140=0+%29 equivalent to 14*w-140 =0
It becomes .
Result:
This is an equation! Solutions: w=10.

Universal Simplifier and Solver


Done!



With w=10, then 6w+8=68 and P=2(10+68)=156... which is a true statement.

Step 6. ANSWER: Width is 10 meters.

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
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