document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1070884>Question 1070884</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Calculate the area of a rectangle if its length is 24cm and one of its diagonals is 74cm </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #685875 by </B><A HREF=/tutors/aboutme.mpl?userid=math_helper><B>math_helper(2461)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_helper><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=math_helper><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=685875\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Here the key is to figure out the width.   The length is 24cm and a diagonal is 74cm.  Fortunately, the diagonal is related to the width and length as follows:\r<BR>\n" );
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document.write( "                          <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+diagonal+=+sqrt%28%28length%29%5E2+%2B+%28width%29%5E2%29+ ALIGN=MIDDLE  ALT=\"+diagonal+=+sqrt%28%28length%29%5E2+%2B+%28width%29%5E2%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=++74+=+sqrt%2824%5E2+%2B+%28width%29%5E2%29+ ALIGN=MIDDLE  ALT=\"++74+=+sqrt%2824%5E2+%2B+%28width%29%5E2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "                         <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=++74%5E2+=+24%5E2+%2B+%28width%29%5E2+ ALIGN=MIDDLE  ALT=\"++74%5E2+=+24%5E2+%2B+%28width%29%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "                         <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=++74%5E2+-+24%5E2+=+%28width%29%5E2+ ALIGN=MIDDLE  ALT=\"++74%5E2+-+24%5E2+=+%28width%29%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "                         <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=++5476+-+576+=+%28width%29%5E2+ ALIGN=MIDDLE  ALT=\"++5476+-+576+=+%28width%29%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "                         <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=++4900+=+%28width%29%5E2+ ALIGN=MIDDLE  ALT=\"++4900+=+%28width%29%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "                         <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=++sqrt%284900%29+=+%28width%29+ ALIGN=MIDDLE  ALT=\"++sqrt%284900%29+=+%28width%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "                         <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=++++70+=+%28width%29+ ALIGN=MIDDLE  ALT=\"++++70+=+%28width%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So the width is 70cm  (technically width and length are swapped as length is the longer dimension)\r<BR>\n" );
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document.write( "Finally, the area = (length) x (width) = 70cm * 24cm = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+highlight%281680cm%5E2%29+ ALIGN=MIDDLE  ALT=\"+highlight%281680cm%5E2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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