document.write( "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. \n" ); document.write( "

Algebra.Com's Answer #162115 by drj(1380) $\"\"$ $\"About$

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.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Step 1. Let w be the width and let 3w-5 be the length as given in the problem.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Step 2. The perimeter P of a rectangle means to add up all the sides. So\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"P=w%2Bw%2B3w-5%2B3w-5=46\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Step 3. The following will solve the equation in Step 2.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

Solved by pluggable solver: EXPLAIN simplification of an expression

Your Result:

\n" ); document.write( "
\n" ); document.write( "

\n" ); document.write( " YOUR ANSWER\n" ); document.write( "

\n" ); document.write( "\n" ); document.write( "

This is an equation! Solutions: w=7.
Graphical form: Equation $\"w%2Bw%2B3w-5%2B3w-5=46\"$ was fully solved.
Text form: w+w+3w-5+3w-5=46 simplifies to 0=0
Cartoon (animation) form: $\"simplify_cartoon%28+w%2Bw%2B3w-5%2B3w-5=46+%29\"$
For tutors: simplify_cartoon( w+w+3w-5+3w-5=46 )
If you have a website, here's a link to this solution.

\n" ); document.write( "

DETAILED EXPLANATION

\n" ); document.write( "

Look at $\"w%2Bw%2B3%2Aw-highlight_red%28+5+%29%2B3%2Aw-highlight_red%28+5+%29=46\"$ .
Added fractions or integers together
It becomes $\"w%2Bw%2B3%2Aw%2Bhighlight_green%28+-10+%29%2B3%2Aw=46\"$ .
\n" ); document.write( "

Look at $\"w%2Bw%2B3%2Aw%2Bhighlight_red%28+-10+%29%2B3%2Aw=46\"$ .
Moved $\"-10\"$ to the right of expression
It becomes $\"w%2Bw%2B3%2Aw%2B3%2Aw%2Bhighlight_green%28+-10+%29=46\"$ .
\n" ); document.write( "

Look at $\"w%2Bw%2B3%2Aw%2B3%2Aw%2Bhighlight_red%28+-10+%29=46\"$ .
Removed extra sign in front of $\"-10\"$
It becomes $\"w%2Bw%2B3%2Aw%2B3%2Aw-highlight_green%28+10+%29=46\"$ .
\n" ); document.write( "

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 $\"highlight_green%28+%281%2B1%2B3%2B3%29%2Aw+%29-10=46\"$ .
\n" ); document.write( "

Look at

.
Added fractions or integers together
It becomes $\"%28highlight_green%28+8+%29%29%2Aw-10=46\"$ .
\n" ); document.write( "

Look at $\"highlight_red%28+%28highlight_red%28+8+%29%29%2Aw+%29-10=46\"$ .
Remove unneeded parentheses around factor $\"highlight_red%28+8+%29\"$
It becomes $\"highlight_green%28+8+%29%2Aw-10=46\"$ .
\n" ); document.write( "

Look at $\"8%2Aw-10=highlight_red%28+46+%29\"$ .
Moved these terms to the left $\"highlight_green%28+-46+%29\"$
It becomes $\"8%2Aw-10-highlight_green%28+46+%29=0\"$ .
\n" ); document.write( "

Look at $\"8%2Aw-highlight_red%28+10+%29-highlight_red%28+46+%29=0\"$ .
Added fractions or integers together
It becomes $\"8%2Aw%2Bhighlight_green%28+-56+%29=0\"$ .
\n" ); document.write( "

Look at $\"8%2Aw%2Bhighlight_red%28+-56+%29=0\"$ .
Removed extra sign in front of $\"-56\"$
It becomes $\"8%2Aw-highlight_green%28+56+%29=0\"$ .
\n" ); document.write( "

Look at $\"highlight_red%28+8%2Aw-56+%29=0\"$ .
Solved linear equation $\"highlight_red%28+8%2Aw-56=0+%29\"$ equivalent to 8*w-56 =0
It becomes $\"highlight_green%28+0+%29=0\"$ .
Result: $\"0=0\"$
\n" ); document.write( "This is an equation! Solutions: w=7.

Universal Simplifier and Solver

\n" ); document.write( "
Done!

\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "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\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Step 4. ANSWER: 7 cm is the width and 16 cm is the length of the rectangle\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "I hope the above steps were helpful. \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "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.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "And good luck in your studies!\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Respectfully,
\n" ); document.write( "Dr J \n" ); document.write( "

\n" );