document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=724841>Question 724841</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 5 similar rectangles are used to form a big rectangle.<BR>\n" );
document.write( "If the area of the big rectangle is 240 square centimetres, what is its perimeter? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #443928 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=443928\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> It is not clear to me how the 5 rectangles would be arranged.<BR>\n" );
document.write( "If 5 congruent rectangles were attached to one another by their long sides to form a similar, larger rectangle, it would look like this:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28300%2C150%2C-0.5%2C5.5%2C-0.5%2C2.5%2C%0D%0Arectangle%280%2C0%2C5%2C2.236%29%2C%0D%0Aline%281%2C0%2C1%2C2.236%29%2Cline%282%2C0%2C2%2C2.236%29%2C%0D%0Aline%283%2C0%2C3%2C2.236%29%2Cline%284%2C0%2C4%2C2.236%29%2C%0D%0Alocate%280.4%2C2.235%2Ca%29%2Clocate%280.05%2C1.2%2Cb%29%2C%0D%0Alocate%281.4%2C2.235%2Ca%29%2Clocate%282.4%2C2.235%2Ca%29%2C%0D%0Alocate%283.4%2C2.235%2Ca%29%2Clocate%284.4%2C2.235%2Ca%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a ALIGN=MIDDLE  ALT=\"a\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b ALIGN=MIDDLE  ALT=\"b\"   DISABLED_style= \"max-width:90%; height:auto;\" > being the small rectangles' sides' measures in cm.<BR>\n" );
document.write( "Since the large rectangle is similar to the small ones,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5a%2Fb=b%2Fa ALIGN=MIDDLE  ALT=\"5a%2Fb=b%2Fa\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5a%5E2=b%5E2 ALIGN=MIDDLE  ALT=\"5a%5E2=b%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%285%29%2Aa=b ALIGN=MIDDLE  ALT=\"sqrt%285%29%2Aa=b\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <BR>\n" );
document.write( "So the area of the large rectangle is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285a%29%2Ab=240 ALIGN=MIDDLE  ALT=\"%285a%29%2Ab=240\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285a%29%2A%28sqrt%285%29%2Aa%29=240 ALIGN=MIDDLE  ALT=\"%285a%29%2A%28sqrt%285%29%2Aa%29=240\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5a%5E2%2Asqrt%285%29=240 ALIGN=MIDDLE  ALT=\"5a%5E2%2Asqrt%285%29=240\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiplying both sides of the equal sign times <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%285%29 ALIGN=MIDDLE  ALT=\"sqrt%285%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > we get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5a%5E2%2Asqrt%285%29%2Asqrt%285%29=240%2Asqrt%285%29 ALIGN=MIDDLE  ALT=\"5a%5E2%2Asqrt%285%29%2Asqrt%285%29=240%2Asqrt%285%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25a%5E2=240%2Asqrt%285%29 ALIGN=MIDDLE  ALT=\"25a%5E2=240%2Asqrt%285%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2=240%2Asqrt%285%29%2F25 ALIGN=MIDDLE  ALT=\"a%5E2=240%2Asqrt%285%29%2F25\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=sqrt%28240%29%2Asqrt%28sqrt%285%29%29%2Fsqrt%2825%29 ALIGN=MIDDLE  ALT=\"a=sqrt%28240%29%2Asqrt%28sqrt%285%29%29%2Fsqrt%2825%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=sqrt%2816%2A15%29%2Aroot%284%2C5%29%2F5 ALIGN=MIDDLE  ALT=\"a=sqrt%2816%2A15%29%2Aroot%284%2C5%29%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=sqrt%2816%29%2Asqrt%2815%29%2Aroot%284%2C5%29%2F5 ALIGN=MIDDLE  ALT=\"a=sqrt%2816%29%2Asqrt%2815%29%2Aroot%284%2C5%29%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=4sqrt%2815%29%2Aroot%284%2C5%29%2F5 ALIGN=MIDDLE  ALT=\"a=4sqrt%2815%29%2Aroot%284%2C5%29%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Then,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=sqrt%285%29%2A4sqrt%2815%29%2Aroot%284%2C5%29%2F5 ALIGN=MIDDLE  ALT=\"b=sqrt%285%29%2A4sqrt%2815%29%2Aroot%284%2C5%29%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=4sqrt%285%2A15%29%2Aroot%284%2C5%29%2F5 ALIGN=MIDDLE  ALT=\"b=4sqrt%285%2A15%29%2Aroot%284%2C5%29%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=4sqrt%2825%2A3%29%2Aroot%284%2C5%29%2F5 ALIGN=MIDDLE  ALT=\"b=4sqrt%2825%2A3%29%2Aroot%284%2C5%29%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=4sqrt%2825%29%2Asqrt%283%29%2Aroot%284%2C5%29%2F5 ALIGN=MIDDLE  ALT=\"b=4sqrt%2825%29%2Asqrt%283%29%2Aroot%284%2C5%29%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=4%2A5%2Asqrt%283%29%2Aroot%284%2C5%29%2F5 ALIGN=MIDDLE  ALT=\"b=4%2A5%2Asqrt%283%29%2Aroot%284%2C5%29%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=4sqrt%283%29%2Aroot%284%2C5%29 ALIGN=MIDDLE  ALT=\"b=4sqrt%283%29%2Aroot%284%2C5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5a=4sqrt%2815%29%2Aroot%284%2C5%29 ALIGN=MIDDLE  ALT=\"5a=4sqrt%2815%29%2Aroot%284%2C5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <BR>\n" );
document.write( "The perimeter would be<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%28length%2Bwidth%29=2%285a%2Bb%29 ALIGN=MIDDLE  ALT=\"2%28length%2Bwidth%29=2%285a%2Bb%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "That is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%284sqrt%2815%29%2Aroot%284%2C5%29%2B4sqrt%283%29%2Aroot%284%2C5%29%29=2%2A4%2Aroot%284%2C5%29%28sqrt%2815%29%2Bsqrt%283%29%29=highlight%288root%284%2C5%29%28sqrt%2815%29%2Bsqrt%283%29%29=8root%284%2C5%29sqrt%283%29%28sqrt%285%29%2B1%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );