document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=935521>Question 935521</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An artist drew a painting with similar rectangles with whole-number dimensions in inches. The small rectangle is 8 inches by 3 inches. One dimension of the medium rectangle is 9 inches. One dimension of the large rectangle is 32 inches. What are the dimensions of the medium and large rectangles. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #568835 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=568835\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The length and width of the small rectangle are<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L%5B1%5D=8 ALIGN=MIDDLE  ALT=\"L%5B1%5D=8\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W%5B1%5D=3 ALIGN=MIDDLE  ALT=\"W%5B1%5D=3\"   DISABLED_style= \"max-width:90%; height:auto;\" > inches respectively.<BR>\n" );
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document.write( "For the medium rectangle, let the length and width in inches be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L%5B2%5D ALIGN=MIDDLE  ALT=\"L%5B2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W%5B2%5D ALIGN=MIDDLE  ALT=\"W%5B2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > respectively.<BR>\n" );
document.write( "For the large rectangle let the length and width in inches be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L%5B3%5D ALIGN=MIDDLE  ALT=\"L%5B3%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W%5B3%5D ALIGN=MIDDLE  ALT=\"W%5B3%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > respectively.<BR>\n" );
document.write( "Since they are similar rectangles, length and width are in the same proportion, so<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2F3=L%5B2%5D%2FW%5B2%5D ALIGN=MIDDLE  ALT=\"8%2F3=L%5B2%5D%2FW%5B2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L%5B2%5D=%288%2F3%29W%5B2%5D ALIGN=MIDDLE  ALT=\"L%5B2%5D=%288%2F3%29W%5B2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > or<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F8=W%5B2%5D%2FL%5B2%5D ALIGN=MIDDLE  ALT=\"3%2F8=W%5B2%5D%2FL%5B2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W%5B2%5D=%283%2F8%29L%5B2%5D ALIGN=MIDDLE  ALT=\"W%5B2%5D=%283%2F8%29L%5B2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > , and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2F3=L%5B3%5D%2FW%5B3%5D ALIGN=MIDDLE  ALT=\"8%2F3=L%5B3%5D%2FW%5B3%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L%5B3%5D=%288%2F3%29W%5B3%5D ALIGN=MIDDLE  ALT=\"L%5B3%5D=%288%2F3%29W%5B3%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > or<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F8=W%5B3%5D%2FL%5B3%5D ALIGN=MIDDLE  ALT=\"3%2F8=W%5B3%5D%2FL%5B3%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W%5B3%5D=%283%2F8%29L%5B3%5D ALIGN=MIDDLE  ALT=\"W%5B3%5D=%283%2F8%29L%5B3%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
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document.write( "The medium rectangle cannot have a length of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L%5B2%5D=9 ALIGN=MIDDLE  ALT=\"L%5B2%5D=9\"   DISABLED_style= \"max-width:90%; height:auto;\" > inches, because that would make the width<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W%5B2%5D=%283%2F8%299=27%2F8 ALIGN=MIDDLE  ALT=\"W%5B2%5D=%283%2F8%299=27%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" > inches, which is not a \"whole-number dimension\".<BR>\n" );
document.write( "The medium rectangle must have a width of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28W%5B2%5D=9%29 ALIGN=MIDDLE  ALT=\"highlight%28W%5B2%5D=9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > inches, and that would make the length<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L%5B2%5D=%288%2F3%299=highlight%2824%29 ALIGN=MIDDLE  ALT=\"L%5B2%5D=%288%2F3%299=highlight%2824%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > inches.<BR>\n" );
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document.write( "The large rectangle cannot have a width of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W%5B3%5D=32 ALIGN=MIDDLE  ALT=\"W%5B3%5D=32\"   DISABLED_style= \"max-width:90%; height:auto;\" > inches, because that would make the length<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L%5B3%5D=%288%2F3%2932=256%2F3 ALIGN=MIDDLE  ALT=\"L%5B3%5D=%288%2F3%2932=256%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > inches, which is not a \"whole-number dimension\".<BR>\n" );
document.write( "The large rectangle must have a length of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28L%5B2%5D=32%29 ALIGN=MIDDLE  ALT=\"highlight%28L%5B2%5D=32%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > inches, and that would make the width<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W%5B3%5D=%283%2F8%2932=highlight%2812%29 ALIGN=MIDDLE  ALT=\"W%5B3%5D=%283%2F8%2932=highlight%2812%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > inches </SPAN>\n" );
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