document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1207600>Question 1207600</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello dear tutor, help me solve this problem.<BR>\n" );
document.write( "If the area of a rectangle is 42 squared unit and the perimeter is 26.<BR>\n" );
document.write( "Find the length and width of the rectangle. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #845566 by </B><A HREF=/tutors/aboutme.mpl?userid=Timnewman><B>Timnewman(323)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Timnewman><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/cgi-bin/show-face.mpl?user=Timnewman><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=845566\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> To find the length and width of the rectangle, we can use the formulas:\r<BR>\n" );
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document.write( "Area = Length x Width<BR>\n" );
document.write( "Perimeter = 2(Length + Width)\r<BR>\n" );
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document.write( "Given:<BR>\n" );
document.write( "Area = 42 square units<BR>\n" );
document.write( "Perimeter = 26 units\r<BR>\n" );
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document.write( "Let's start by using the perimeter formula:<BR>\n" );
document.write( "26 = 2(Length + Width)\r<BR>\n" );
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document.write( "Divide both sides by 2:<BR>\n" );
document.write( "13 = Length + Width\r<BR>\n" );
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document.write( "Now, let's use the area formula:<BR>\n" );
document.write( "42 = Length x Width\r<BR>\n" );
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document.write( "Since Length + Width = 13, we can rewrite the area formula as:<BR>\n" );
document.write( "42 = (13 - Width) x Width\r<BR>\n" );
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document.write( "Expand and simplify:<BR>\n" );
document.write( "42 = 13W - W^2<BR>\n" );
document.write( "W^2 - 13W + 42 = 0\r<BR>\n" );
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document.write( "Factor the quadratic equation:<BR>\n" );
document.write( "(W - 6)(W - 7) = 0\r<BR>\n" );
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document.write( "This gives us two possible values for Width:<BR>\n" );
document.write( "W = 6 or W = 7\r<BR>\n" );
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document.write( "Now, we can find the corresponding Length values:<BR>\n" );
document.write( "If W = 6, then Length = 13 - 6 = 7<BR>\n" );
document.write( "If W = 7, then Length = 13 - 7 = 6\r<BR>\n" );
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document.write( "So, the length and width of the rectangle are:<BR>\n" );
document.write( "Length = 7 units, Width = 6 units<BR>\n" );
document.write( "or<BR>\n" );
document.write( "Length = 6 units, Width = 7 units\r<BR>\n" );
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document.write( "Both solutions are valid, and the rectangle can be oriented either way.\r<BR>\n" );
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document.write( "Best of luck.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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