document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1208718>Question 1208718</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the dimensions of a rectangle whose perimeter is 26 meters and whose area is 40 square meters.\r<BR>\n" );
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document.write( "For this problem, I must use the perimeter of a rectangle formula and area of a rectangle formula. Do you agree? \r<BR>\n" );
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document.write( "Let l = length\r<BR>\n" );
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document.write( "Let w = width\r<BR>\n" );
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document.write( "A = lw\r<BR>\n" );
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document.write( "40 = lw\r<BR>\n" );
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document.write( "I can solve the equation for length or width. I will solve for l or length. \r<BR>\n" );
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document.write( "40 = lw\r<BR>\n" );
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document.write( "40/w = l\r<BR>\n" );
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document.write( "I now plug that into the formula\r<BR>\n" );
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document.write( "P = 2l + 2w\r<BR>\n" );
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document.write( "26 = 2(40/w) + 2w\r<BR>\n" );
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document.write( "After finding w or width, I plug the value for w back into A = lw to find the length. \r<BR>\n" );
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document.write( "Is this correct? If not, what did I fo wrong? Thanks. \r<BR>\n" );
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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 #847119 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=847119\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> L, length<BR>\n" );
document.write( "w, width<BR>\n" );
document.write( "Perimeter and area of the rectangle are given so:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28wL=40%2Cand%2C2w%2B2L=26%29 ALIGN=MIDDLE  ALT=\"system%28wL=40%2Cand%2C2w%2B2L=26%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Perimeter equation simplifies to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w%2BL=13 ALIGN=MIDDLE  ALT=\"w%2BL=13\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w=13-L ALIGN=MIDDLE  ALT=\"w=13-L\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Substitute in the area equation.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Lw=40 ALIGN=MIDDLE  ALT=\"Lw=40\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L%2813-L%29=40 ALIGN=MIDDLE  ALT=\"L%2813-L%29=40\"   DISABLED_style= \"max-width:90%; height:auto;\" >---------------(or maybe you see an 8 and 5 here?)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-L%5E2%2B13L-40=0 ALIGN=MIDDLE  ALT=\"-L%5E2%2B13L-40=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L%5E2-13L%2B40=0 ALIGN=MIDDLE  ALT=\"L%5E2-13L%2B40=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >------------which is factorable.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28L-8%29%28L-5%29=0 ALIGN=MIDDLE  ALT=\"%28L-8%29%28L-5%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Meaning L could be 8 or 5.  Can it be either?\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=wL=40 ALIGN=MIDDLE  ALT=\"wL=40\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "if L is 8, then w=5.<BR>\n" );
document.write( "If L is 5 , then w=8.\r<BR>\n" );
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document.write( "Will these work in the perimeter equation?<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2A5%2B2%2A8 ALIGN=MIDDLE  ALT=\"2%2A5%2B2%2A8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2813%29 ALIGN=MIDDLE  ALT=\"2%2813%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=26 ALIGN=MIDDLE  ALT=\"26\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=the ALIGN=MIDDLE  ALT=\"the\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=given ALIGN=MIDDLE  ALT=\"given\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=perimeter ALIGN=MIDDLE  ALT=\"perimeter\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
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