document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=188704>Question 188704</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can someone please help me. I've submitted this problem yesterday at 10:00 am and today at 1:00pm and still haven't gotten a response. \r<BR>\n" );
document.write( "\n" );
document.write( "Suppose you work in an office and your current cubicle is a square. The company is moving and your new cubicle will be 2 feet longer on one side and 3 feet shorter on the other. \r<BR>\n" );
document.write( "\n" );
document.write( "a) Determine the dimensions of your new cubicle based on your original square, which is x feet per side.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "                   x + 2   would be the side 2 feet longer.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "                   x - 3   would be the side 3 feet shorter.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "b)     Write the equation for the area of your new cubicle.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "                   (x + 2)(x - 3)           Area = Length * Width\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Using the FOIL method to multiply the polynomials\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Note the \"FOILy face\".\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "c) If your old cubicle was 8 feet by 8 feet, is your new cubicle larger or smaller and by how much?\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "8 * 8 = 64 ft2   Size of original cubicle.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "82 - 8 - 6         Substitute in value of x which is 8 in this case.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "64 - 14\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "50 ft2               Size of new cubicle\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "64 - 50 = 14 ft2  New cubicle is 14 square feet smaller than old cubicle.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Using the example above, develop a similar problem in which you change the size of a shape. Show the same steps as above. No graphics needed.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #141515 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=141515\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a) You are correct. The dimensions are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B2 ALIGN=MIDDLE  ALT=\"x%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" > by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-3 ALIGN=MIDDLE  ALT=\"x-3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "b) \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Area: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=%28x+%2B+2%29%28x+-+3%29=x%5E2-3x%2B2x-6=x%5E2-x-6 ALIGN=MIDDLE  ALT=\"A=%28x+%2B+2%29%28x+-+3%29=x%5E2-3x%2B2x-6=x%5E2-x-6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "So the area is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=x%5E2-x-6 ALIGN=MIDDLE  ALT=\"A=x%5E2-x-6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "--------\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "c)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Original Area: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=x%5E2=8%5E2=64 ALIGN=MIDDLE  ALT=\"A=x%5E2=8%5E2=64\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "New Area: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=x%5E2-x-6=%288%29%5E2-%288%29-6=64-8-6=50 ALIGN=MIDDLE  ALT=\"A=x%5E2-x-6=%288%29%5E2-%288%29-6=64-8-6=50\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Difference in Areas: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=64-50=14 ALIGN=MIDDLE  ALT=\"64-50=14\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "New cubicle is smaller by 14 square feet (since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5Bn%5D%3CA%5Bo%5D ALIGN=MIDDLE  ALT=\"A%5Bn%5D%3CA%5Bo%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >). You are correct.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "---------------\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "d)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Let's say that we start with a square again with side lengths of \"x\". Now one side is lengthened by 5 while the other is shortened by 2. \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "So the new dimensions would be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B5 ALIGN=MIDDLE  ALT=\"x%2B5\"   DISABLED_style= \"max-width:90%; height:auto;\" > by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-2 ALIGN=MIDDLE  ALT=\"x-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The new area would be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=%28x%2B5%29%28x-2%29=x%5E2-2x%2B5x-15=x%5E2%2B3x-15 ALIGN=MIDDLE  ALT=\"A=%28x%2B5%29%28x-2%29=x%5E2-2x%2B5x-15=x%5E2%2B3x-15\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Finally, if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=8 ALIGN=MIDDLE  ALT=\"x=8\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Old area: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=8%5E2=64 ALIGN=MIDDLE  ALT=\"A=8%5E2=64\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "New area: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=%288%29%5E2%2B3%288%29-15=64%2B24-15=73 ALIGN=MIDDLE  ALT=\"A=%288%29%5E2%2B3%288%29-15=64%2B24-15=73\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Difference in areas: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=73-64=9 ALIGN=MIDDLE  ALT=\"73-64=9\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "New area is now 9 square feet larger than the old area. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );