document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1044224>Question 1044224</A>: <I><SPAN STYLE=\"word-break: break-all;\"> if breadth of a rectangle is 2/5 of its length and half of the perimeter of a rectangle is 375m. then GCD of length and breadth is ? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #659858 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=659858\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=GCD ALIGN=MIDDLE  ALT=\"GCD\"   DISABLED_style= \"max-width:90%; height:auto;\" > supposed to mean Greatest Common Divisor?<BR>\n" );
document.write( "If it is so, you would expect the values, in meters, for he breadth and length of the rectangle to be whole numbers, but they turn to be fractions.<BR>\n" );
document.write( " <BR>\n" );
document.write( "THE PROBLEM AS POSTED:<BR>\n" );
document.write( "We can define<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x ALIGN=MIDDLE  ALT=\"2x\"   DISABLED_style= \"max-width:90%; height:auto;\" >= breadth of the rectangle, in meters, and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x ALIGN=MIDDLE  ALT=\"5x\"   DISABLED_style= \"max-width:90%; height:auto;\" >= length of the rectangle, in meters,<BR>\n" );
document.write( "because that is the same as saying that the breadth of the rectangle is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F5 ALIGN=MIDDLE  ALT=\"2%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > of its length.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2B5x=7x ALIGN=MIDDLE  ALT=\"2x%2B5x=7x\"   DISABLED_style= \"max-width:90%; height:auto;\" >= half of the perimeter of the rectangle, in meters.<BR>\n" );
document.write( "The problem says that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7x=375 ALIGN=MIDDLE  ALT=\"7x=375\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "So, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=375%2F7 ALIGN=MIDDLE  ALT=\"x=375%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "That is not a whole number. It is a fraction,<BR>\n" );
document.write( "so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x=2%28375%2F7%29=750%2F7 ALIGN=MIDDLE  ALT=\"2x=2%28375%2F7%29=750%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x=5%28375%2F7%29=1875%2F7 ALIGN=MIDDLE  ALT=\"5x=5%28375%2F7%29=1875%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "the breadth and length of the rectangle, are not whole numbers.<BR>\n" );
document.write( "They are irreducible fractions.<BR>\n" );
document.write( " <BR>\n" );
document.write( "IF THE PROBLEM STATED THAT<BR>\n" );
document.write( "the breadth of a rectangle is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F3 ALIGN=MIDDLE  ALT=\"2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > of its length and half of the perimeter of a rectangle is 375m,<BR>\n" );
document.write( "then bread and length (in meters) can be written as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x ALIGN=MIDDLE  ALT=\"2x\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x ALIGN=MIDDLE  ALT=\"3x\"   DISABLED_style= \"max-width:90%; height:auto;\" > ;<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2B3x=5x ALIGN=MIDDLE  ALT=\"2x%2B3x=5x\"   DISABLED_style= \"max-width:90%; height:auto;\" > is half of the perimeter of the rectangle, in meters;<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x=375 ALIGN=MIDDLE  ALT=\"5x=375\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the equation;<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=75 ALIGN=MIDDLE  ALT=\"x=75\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "the breadth is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x ALIGN=MIDDLE  ALT=\"2x\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "the length is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x ALIGN=MIDDLE  ALT=\"3x\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "and the GCD of length and breadth is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=GCD%282x%2C3x%29=x=75 ALIGN=MIDDLE  ALT=\"GCD%282x%2C3x%29=x=75\"   DISABLED_style= \"max-width:90%; height:auto;\" > , because <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2 ALIGN=MIDDLE  ALT=\"2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3 ALIGN=MIDDLE  ALT=\"3\"   DISABLED_style= \"max-width:90%; height:auto;\" > are coprime, or relatively prime<BR>\n" );
document.write( "(they do not have any common factors/divisors other than 1). </SPAN>\n" );
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