document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=204198>Question 204198</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The width of a rectangle is 4 less than twice its length. If the area of the rectangle is 183 cm^2, what is the length of the diagonal?  </SPAN>\n" );
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document.write( "Let the length of the rectangle be L<BR>\n" );
document.write( "Since its width is 4 less than twice its length, then width = 2L - 4<BR>\n" );
document.write( "Since its area = 183 cm^2, then we’’ll have: \r<BR>\n" );
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document.write( "L(2L – 4) = 183<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2L%5E2-4L-183+=+0 ALIGN=MIDDLE  ALT=\"2L%5E2-4L-183+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Using the quadratic equation:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28-b%2B-sqrt%28b%5E2-4%2Aa%2Ac%29%29%2F%282%2Aa%29 ALIGN=MIDDLE  ALT=\"x=%28-b%2B-sqrt%28b%5E2-4%2Aa%2Ac%29%29%2F%282%2Aa%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, where:\r<BR>\n" );
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document.write( "a  =  2  ;  b  =  - 4  ;  c =  - 183, we have:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=%28--4%2B-sqrt%28-4%5E2-4%2A2%2A-183%29%29%2F%282%2A2%29 ALIGN=MIDDLE  ALT=\"L=%28--4%2B-sqrt%28-4%5E2-4%2A2%2A-183%29%29%2F%282%2A2%29\"   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=%284%2B-sqrt%2816%2B1464%29%29%2F%284%29 ALIGN=MIDDLE  ALT=\"L=%284%2B-sqrt%2816%2B1464%29%29%2F%284%29\"   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=%284%2B-sqrt%281480%29%29%2F%284%29 ALIGN=MIDDLE  ALT=\"L=%284%2B-sqrt%281480%29%29%2F%284%29\"   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=%284%2B38.47%29%2F4 ALIGN=MIDDLE  ALT=\"L=%284%2B38.47%29%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >  or  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=%284-38.47%29%2F4 ALIGN=MIDDLE  ALT=\"L=%284-38.47%29%2F4\"   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=42.47%2F4 ALIGN=MIDDLE  ALT=\"L=42.47%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >  or  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=-34.47%2F4 ALIGN=MIDDLE  ALT=\"L=-34.47%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "L  =  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%2810.62%29 ALIGN=MIDDLE  ALT=\"highlight_green%2810.62%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  or  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28-8.62%29 ALIGN=MIDDLE  ALT=\"highlight_green%28-8.62%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Since we CANNOT have a negative measurement, we reject L = - 8.62\r<BR>\n" );
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document.write( "Therefore, the length (or base) of the rectangle is 10.62 cm, and the width (or height) = 2(10.62) – 4  =  21.24 – 4 = 17.24 cm.\r<BR>\n" );
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document.write( "To now find the diagonal, we use the Pythagorean formula: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2%2Bb%5E2=c%5E2 ALIGN=MIDDLE  ALT=\"a%5E2%2Bb%5E2=c%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, using the length and width as “a” & “b” and the diagonal as “c.”\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2%2Bb%5E2=c%5E2 ALIGN=MIDDLE  ALT=\"a%5E2%2Bb%5E2=c%5E2\"   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=10.62%5E2%2B17.24%5E2=c%5E2 ALIGN=MIDDLE  ALT=\"10.62%5E2%2B17.24%5E2=c%5E2\"   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=112.78+%2B+297.22+=+c%5E2 ALIGN=MIDDLE  ALT=\"112.78+%2B+297.22+=+c%5E2\"   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=410=c%5E2 ALIGN=MIDDLE  ALT=\"410=c%5E2\"   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=sqrt%28410%29=c ALIGN=MIDDLE  ALT=\"sqrt%28410%29=c\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "c, or the diagonal  =  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%2820.25%29 ALIGN=MIDDLE  ALT=\"highlight_green%2820.25%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > cm.<BR>\n" );
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