document.write( "Question 225944: THE PERIMETER IS 1280, THE WIDTH IS 90 LESS THAN THE LENGTH, WHAT IS THE LENGTH AND WIDTH? \n" ); document.write( "

Algebra.Com's Answer #168423 by drj(1380) $\"\"$ $\"About$

You can put this solution on YOUR website!
THE PERIMETER IS 1280, THE WIDTH IS 90 LESS THAN THE LENGTH, WHAT IS THE LENGTH AND WIDTH?\r
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\n" ); document.write( "\n" ); document.write( "Step 1. The perimeter P means adding up all the four sides of a rectangle.\r
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\n" ); document.write( "\n" ); document.write( "Step 2. Let w be the width.\r
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\n" ); document.write( "\n" ); document.write( "Step 3. Let w+90 be the length since the width is 90 less than the length\r
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\n" ); document.write( "\n" ); document.write( "Step 4. Then, P=w+w+w+90+w+90=1280.\r
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\n" ); document.write( "\n" ); document.write( "Step 5. Solving yields the following steps\r
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Solved by pluggable solver: EXPLAIN simplification of an expression

Your Result:

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

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This is an equation! Solutions: w=275.
Graphical form: Equation $\"w%2Bw%2Bw%2B90%2Bw%2B90=1280\"$ was fully solved.
Text form: w+w+w+90+w+90=1280 simplifies to 0=0
Cartoon (animation) form: $\"simplify_cartoon%28+w%2Bw%2Bw%2B90%2Bw%2B90=1280+%29\"$
For tutors: simplify_cartoon( w+w+w+90+w+90=1280 )
If you have a website, here's a link to this solution.

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DETAILED EXPLANATION

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Look at $\"w%2Bw%2Bw%2Bhighlight_red%28+90+%29%2Bw%2Bhighlight_red%28+90+%29=1280\"$ .
Added fractions or integers together
It becomes $\"w%2Bw%2Bw%2Bhighlight_green%28+180+%29%2Bw=1280\"$ .
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Look at $\"w%2Bw%2Bw%2Bhighlight_red%28+180+%29%2Bw=1280\"$ .
Moved $\"180\"$ to the right of expression
It becomes $\"w%2Bw%2Bw%2Bw%2Bhighlight_green%28+180+%29=1280\"$ .
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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 $\"highlight_green%28+%281%2B1%2B1%2B1%29%2Aw+%29%2B180=1280\"$ .
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Look at

.
Added fractions or integers together
It becomes $\"%28highlight_green%28+4+%29%29%2Aw%2B180=1280\"$ .
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Look at $\"highlight_red%28+%28highlight_red%28+4+%29%29%2Aw+%29%2B180=1280\"$ .
Remove unneeded parentheses around factor $\"highlight_red%28+4+%29\"$
It becomes $\"highlight_green%28+4+%29%2Aw%2B180=1280\"$ .
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Look at $\"4%2Aw%2B180=highlight_red%28+1280+%29\"$ .
Moved these terms to the left $\"highlight_green%28+-1280+%29\"$
It becomes $\"4%2Aw%2B180-highlight_green%28+1280+%29=0\"$ .
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Look at $\"4%2Aw%2Bhighlight_red%28+180+%29-highlight_red%28+1280+%29=0\"$ .
Added fractions or integers together
It becomes $\"4%2Aw%2Bhighlight_green%28+-1100+%29=0\"$ .
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Look at $\"4%2Aw%2Bhighlight_red%28+-1100+%29=0\"$ .
Removed extra sign in front of $\"-1100\"$
It becomes $\"4%2Aw-highlight_green%28+1100+%29=0\"$ .
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Look at $\"highlight_red%28+4%2Aw-1100+%29=0\"$ .
Solved linear equation $\"highlight_red%28+4%2Aw-1100=0+%29\"$ equivalent to 4*w-1100 =0
It becomes $\"highlight_green%28+0+%29=0\"$ .
Result: $\"0=0\"$
\n" ); document.write( "This is an equation! Solutions: w=275.

Universal Simplifier and Solver

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Done!

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\n" ); document.write( "\n" ); document.write( "For w=275 , then w+90=365 and P=2(275+365)=1280 which is a true statement.\r
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\n" ); document.write( "\n" ); document.write( "Step 6. ANSWER: The length is 365 and the width is 275\r
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\n" ); document.write( "\n" ); document.write( "I hope the above steps were helpful. \r
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\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
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\n" ); document.write( "\n" ); document.write( "And good luck in your studies!\r
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\n" ); document.write( "\n" ); document.write( "Respectfully,
\n" ); document.write( "Dr J\r
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\n" ); document.write( "\n" ); document.write( "drjctu@gmail.com\r
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