SOLUTION: The length of a rectangle is 5 cm less than 3 times the width. If the perimeter of the rectangle is 46 cm find the dimensions of the rectangle.

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Question 214680: The length of a rectangle is 5 cm less than 3 times the width. If the perimeter of the rectangle is 46 cm find the dimensions of the rectangle.
Answer by drj(1380)   (Show Source): You can put this solution on YOUR website!
The length of a rectangle is 5 cm less than 3 times the width. If the perimeter of the rectangle is 46 cm find the dimensions of the rectangle.

Step 1. Let w be the width and let 3w-5 be the length as given in the problem.

Step 2. The perimeter P of a rectangle means to add up all the sides. So



Step 3. The following will solve the equation in Step 2.

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


YOUR ANSWER


  • This is an equation! Solutions: w=7.
  • Graphical form: Equation was fully solved.
  • Text form: w+w+3w-5+3w-5=46 simplifies to 0=0
  • Cartoon (animation) form:
    For tutors: simplify_cartoon( w+w+3w-5+3w-5=46 )
  • 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 -10 to the right of expression
It becomes .
Look at .
Removed extra sign in front of -10
It becomes .
Look at .
Eliminated similar terms highlight_red%28+w+%29,highlight_red%28+w+%29,highlight_red%28+3%2Aw+%29,highlight_red%28+3%2Aw+%29 replacing them with highlight_green%28+%281%2B1%2B3%2B3%29%2Aw+%29
It becomes .
Look at .
Added fractions or integers together
It becomes .
Look at .
Remove unneeded parentheses around factor highlight_red%28+8+%29
It becomes .
Look at .
Moved these terms to the left highlight_green%28+-46+%29
It becomes .
Look at .
Added fractions or integers together
It becomes .
Look at .
Removed extra sign in front of -56
It becomes .
Look at .
Solved linear equation highlight_red%28+8%2Aw-56=0+%29 equivalent to 8*w-56 =0
It becomes .
Result:
This is an equation! Solutions: w=7.

Universal Simplifier and Solver


Done!



With w=7 then the length is 3w-5=3*7-5=16. Note that these dimensions will result in a perimeter of 46 cm

Step 4. ANSWER: 7 cm is the width and 16 cm is the length of the rectangle

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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