document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=827529>Question 827529</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A rectangle has an area of 43.56 cm2. When both the length and width of the rectangle are increased by 1.20 cm, the area of the rectangle becomes 63.84 cm2. Calculate the length of the shorter of the two sides of the initial rectangle. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #498739 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=498739\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Try assigning variables to everything.\r<BR>\n" );
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document.write( "x = length<BR>\n" );
document.write( "y = width<BR>\n" );
document.write( "A = 43.56 cm^2<BR>\n" );
document.write( "B = 63.84 cm^2<BR>\n" );
document.write( "c = 1.20 cm length increment to obtain B area\r<BR>\n" );
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document.write( "Form equations.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=xy=A ALIGN=MIDDLE  ALT=\"xy=A\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2Bc%29%28y%2Bc%29=B ALIGN=MIDDLE  ALT=\"%28x%2Bc%29%28y%2Bc%29=B\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "'<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%2Bc=B%2F%28x%2Bc%29 ALIGN=MIDDLE  ALT=\"y%2Bc=B%2F%28x%2Bc%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=B%2F%28x%2Bc%29-c ALIGN=MIDDLE  ALT=\"y=B%2F%28x%2Bc%29-c\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=B%2F%28x%2Bc%29-c%28x%2Bc%29%2F%28x%2Bc%29 ALIGN=MIDDLE  ALT=\"y=B%2F%28x%2Bc%29-c%28x%2Bc%29%2F%28x%2Bc%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%28B-cx-c%5E2%29%2F%28x%2Bc%29 ALIGN=MIDDLE  ALT=\"y=%28B-cx-c%5E2%29%2F%28x%2Bc%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Original area equation, A,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=xy=A ALIGN=MIDDLE  ALT=\"xy=A\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%28%28B-cx-c%5E2%29%2F%28x%2Bc%29%29=A ALIGN=MIDDLE  ALT=\"x%28%28B-cx-c%5E2%29%2F%28x%2Bc%29%29=A\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%28B-cx-c%5E2%29=A%28x%2Bc%29 ALIGN=MIDDLE  ALT=\"x%28B-cx-c%5E2%29=A%28x%2Bc%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Bx-cx%5E2-c%5E2%2Ax=Ax%2BAc ALIGN=MIDDLE  ALT=\"Bx-cx%5E2-c%5E2%2Ax=Ax%2BAc\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-Bx%2Bcx%5E2%2Bc%5E2%2Ax=-Ax-Ac ALIGN=MIDDLE  ALT=\"-Bx%2Bcx%5E2%2Bc%5E2%2Ax=-Ax-Ac\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cx%5E2%2Bc%5E2%2Ax%2BAx-Bx=-Ac ALIGN=MIDDLE  ALT=\"cx%5E2%2Bc%5E2%2Ax%2BAx-Bx=-Ac\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cx%5E2%2Bc%5E2%2Ax%2BAx-Bx%2BAc=0 ALIGN=MIDDLE  ALT=\"cx%5E2%2Bc%5E2%2Ax%2BAx-Bx%2BAc=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28cx%5E2%2B%28c%5E2%2BA-B%29x%2BAc=0%29 ALIGN=MIDDLE  ALT=\"highlight%28cx%5E2%2B%28c%5E2%2BA-B%29x%2BAc=0%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The time required to enter all of that as text and put in the rendering brackets  is very long.  Solve the quadratic equation for x and use the given values according to you best comfort to get a value for x; and use it to find y.<BR>\n" );
document.write( "-<BR>\n" );
document.write( "Note that you might want to compute the coefficients of the constant term, of x^2, and of x; before using the general solution to quadratic equation.<BR>\n" );
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document.write( "I did NOT assume any convenience with the given numeric values. </SPAN>\n" );
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