document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=39247>Question 39247</A>: <I><SPAN STYLE=\"word-break: break-all;\"> can you please show me and explain EACH step in setting up and solving the following application problems. Give answers to the nearest thousandth if rounding is needed.\r<BR>\n" );
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document.write( "c. The length of a rectangle is 2 cm longer than its width. If the diagonal of the rectangle is 10cm. What are the dimensions (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 #24671 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=24671\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Start with the Pythagorean theorem.<BR>\n" );
document.write( "The diagonal (D) of a rectangle is the hypotenuse of a right triangle whose legs are the rectangle's length (L) and width (W). So we can write:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D%5E2+=+L%5E2+%2B+W%5E2 ALIGN=MIDDLE  ALT=\"D%5E2+=+L%5E2+%2B+W%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "But we are also given that the length (L) is 2 cm longer than its width (W), so we can write: L = W+2  Substituting this into the above equation, we have:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D%5E2+=+%28W%2B2%29%5E2+%2B+W%5E2 ALIGN=MIDDLE  ALT=\"D%5E2+=+%28W%2B2%29%5E2+%2B+W%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and we know that D = 10 cm, so...\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%5E2+=+%28W%2B2%29%5E2+%2B+W%5E2 ALIGN=MIDDLE  ALT=\"10%5E2+=+%28W%2B2%29%5E2+%2B+W%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify and solve for W.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100+=+W%5E2%2B4W%2B4%2BW%5E2 ALIGN=MIDDLE  ALT=\"100+=+W%5E2%2B4W%2B4%2BW%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100+=+2W%5E2%2B4W%2B4 ALIGN=MIDDLE  ALT=\"100+=+2W%5E2%2B4W%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 100 from both sides of the equation.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2W%5E2%2B4W-96+=+0 ALIGN=MIDDLE  ALT=\"2W%5E2%2B4W-96+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by 2 to simplify.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W%5E2%2B2W-48+=+0 ALIGN=MIDDLE  ALT=\"W%5E2%2B2W-48+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor the quadratic equation.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28W-6%29%28W%2B8%29+=+0 ALIGN=MIDDLE  ALT=\"%28W-6%29%28W%2B8%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Apply the zero products principle.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W-6+=+0 ALIGN=MIDDLE  ALT=\"W-6+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > and/or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W%2B8+=+0 ALIGN=MIDDLE  ALT=\"W%2B8+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "If <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W-6+=+0 ALIGN=MIDDLE  ALT=\"W-6+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W+=+6 ALIGN=MIDDLE  ALT=\"W+=+6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "If <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W%2B8+=+0 ALIGN=MIDDLE  ALT=\"W%2B8+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W+=+-8 ALIGN=MIDDLE  ALT=\"W+=+-8\"   DISABLED_style= \"max-width:90%; height:auto;\" > Discard this solution as the width must be a positive number.\r<BR>\n" );
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document.write( "The width is 6 cm.<BR>\n" );
document.write( "The length is width + 2 cm = 6 + 2 = 8 cm. </SPAN>\n" );
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