document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1109373>Question 1109373</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A rectangular field is 80 meters long and N meters wide. A scale drawing of the field is N centimeter long and 5 centimeter wide . Find N<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #724360 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=724360\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The length:width ratio is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=80%3AN ALIGN=MIDDLE  ALT=\"80%3AN\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=80%2FN ALIGN=MIDDLE  ALT=\"80%2FN\"   DISABLED_style= \"max-width:90%; height:auto;\" > for the field measurements,<BR>\n" );
document.write( "and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=N%3A5 ALIGN=MIDDLE  ALT=\"N%3A5\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=N%2F5 ALIGN=MIDDLE  ALT=\"N%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > for the scale drawing.<BR>\n" );
document.write( "Because it is a scale drawing, those ratios are the same, so<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=N%2F5=80%2FN ALIGN=MIDDLE  ALT=\"N%2F5=80%2FN\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "Solving that equation, we get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=N%5E2=5%2A80 ALIGN=MIDDLE  ALT=\"N%5E2=5%2A80\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=N%5E2=400 ALIGN=MIDDLE  ALT=\"N%5E2=400\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28N=20%29 ALIGN=MIDDLE  ALT=\"highlight%28N=20%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "So, the field is 20 meters wide,<BR>\n" );
document.write( "and the scale drawing is 20 centimeters long.<BR>\n" );
document.write( " <BR>\n" );
document.write( "NOTES:<BR>\n" );
document.write( "1) The length:width ratios are numbers with no units:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=80m%2F%2220+m%22=4 ALIGN=MIDDLE  ALT=\"80m%2F%2220+m%22=4\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20cm%2F%225+cm%22=4 ALIGN=MIDDLE  ALT=\"20cm%2F%225+cm%22=4\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "Unless you convert units, the scale factor is a ratio with units:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=80m%2F%2220+cm%22=4 ALIGN=MIDDLE  ALT=\"80m%2F%2220+cm%22=4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m%3Acm ALIGN=MIDDLE  ALT=\"m%3Acm\"   DISABLED_style= \"max-width:90%; height:auto;\" > or<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8000cm%2F20cm=400%3A1 ALIGN=MIDDLE  ALT=\"8000cm%2F20cm=400%3A1\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "2) The problem could have been solved by equating<BR>\n" );
document.write( "\"calculated\" scale factors for length and width,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=80%2FN ALIGN=MIDDLE  ALT=\"80%2FN\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m%2Fcm ALIGN=MIDDLE  ALT=\"m%2Fcm\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8000%2FN ALIGN=MIDDLE  ALT=\"8000%2FN\"   DISABLED_style= \"max-width:90%; height:auto;\" > for length,<BR>\n" );
document.write( "and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=N%2F5 ALIGN=MIDDLE  ALT=\"N%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m%2Fcm ALIGN=MIDDLE  ALT=\"m%2Fcm\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100N%2F5 ALIGN=MIDDLE  ALT=\"100N%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > for width.<BR>\n" );
document.write( "That is a different reasoning,<BR>\n" );
document.write( "and may be a teacher-preferred way to the solution,<BR>\n" );
document.write( "but both reasoning are sound and lead to the same result.<BR>\n" );
document.write( "In this case, equations without explanations may not raise teacher's objections.<BR>\n" );
document.write( "Using the scale factors with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m%2Fcm ALIGN=MIDDLE  ALT=\"m%2Fcm\"   DISABLED_style= \"max-width:90%; height:auto;\" > units,<BR>\n" );
document.write( "equating scale factors leads to the same<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=N%2F5=80%2FN ALIGN=MIDDLE  ALT=\"N%2F5=80%2FN\"   DISABLED_style= \"max-width:90%; height:auto;\" > equation listed above,<BR>\n" );
document.write( "because the same <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=N ALIGN=MIDDLE  ALT=\"N\"   DISABLED_style= \"max-width:90%; height:auto;\" > was given for width of one rectangle<BR>\n" );
document.write( "and length of the other one. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );