document.write( "Question 662834: Suppose that the width of a rectangle is three feet shorter than length and that the
\n" ); document.write( "perimeter of the rectangle is 86 feet.\r
\n" ); document.write( "\n" ); document.write( " Suppose that the width of a rectangle is three feet shorter than length and that the
\n" ); document.write( "perimeter of the rectangle is 86 feet.
\n" ); document.write( "a) Set up an equation for the perimeter involving only L, the length of the rectangle.
\n" ); document.write( "Answer:
\n" ); document.write( "b) Solve this linear equation algebraically to find the length of the rectangle. Find
\n" ); document.write( "the width as well.
\n" ); document.write( "Answer: Length ______, Width ______
\n" ); document.write( "Show your work here:
\n" ); document.write( "c) Using the same width from your answer on part b), find a new perimeter when
\n" ); document.write( "the new length is five less than three times the width.
\n" ); document.write( " Answer:
\n" ); document.write( " Explain your work here in one or two sentences:
\n" ); document.write( "

Algebra.Com's Answer #412504 by MathLover1(20850)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( " Suppose that the width of a rectangle is three feet shorter than length and that the perimeter of the rectangle is \"86+ft\".\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "a) Set up an equation for the perimeter involving only L, the length of the rectangle.
\n" ); document.write( "Answer: \r
\n" ); document.write( "\n" ); document.write( "\"P=2L%2B2W\"....given that \"W=L-3ft\"\r
\n" ); document.write( "\n" ); document.write( "\"P=2L%2B2%28L-3ft%29\"
\n" ); document.write( "
\n" ); document.write( "\"P=2L%2B2L-6ft\"\r
\n" ); document.write( "\n" ); document.write( "\"P=4L-6ft\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "b) Solve this linear equation algebraically to find the length of the rectangle. Find the width as well.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Answer: Length is \"23ft\", Width is \"20ft\"\r
\n" ); document.write( "\n" ); document.write( "Show your work here:\r
\n" ); document.write( "\n" ); document.write( "\"P=4L-6ft\"......plug in \"P=86+ft\"\r
\n" ); document.write( "\n" ); document.write( "\"86+ft=4L-6ft\"\r
\n" ); document.write( "\n" ); document.write( "\"86+ft%2B6ft=4L\"\r
\n" ); document.write( "\n" ); document.write( "\"92ft=4L\"\r
\n" ); document.write( "\n" ); document.write( "\"92ft%2F4=L\"\r
\n" ); document.write( "\n" ); document.write( "\"23ft=L\"\r
\n" ); document.write( "\n" ); document.write( "\"W=L-3ft\"..plug in \"L\"\r
\n" ); document.write( "\n" ); document.write( "\"W=23ft-3ft\"\r
\n" ); document.write( "\n" ); document.write( "\"W=20ft\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "c) Using the same width from your answer on part b), find a new perimeter when the new length is \"five\"\"+less\" than three times the width.\r
\n" ); document.write( "\n" ); document.write( " Answer: \"W=20ft\" \"L=3W-5ft\"...=>...\"L=3%2A20ft-5ft\"=>...\"L=60ft-5ft\"=>...\"L=55ft\"\r
\n" ); document.write( "\n" ); document.write( "\"P=2%2A55ft%2B2%2A20ft\"\r
\n" ); document.write( "\n" ); document.write( "\"P=110ft%2B40ft\"\r
\n" ); document.write( "\n" ); document.write( "\"P=150ft\"\r
\n" ); document.write( "\n" ); document.write( " Explain your work here in one or two sentences: you do this part\r
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