document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=164604>Question 164604</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The perimeter of one square exceeds that of another by 16 and its area is 44 less than 4 times the area of the other. What is the length of the side of each side of each square? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #121299 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=121299\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let call the first square side a and the second square side b.<BR>\n" );
document.write( "The perimeters are,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%5Ba%5D=4a ALIGN=MIDDLE  ALT=\"P%5Ba%5D=4a\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%5Bb%5D=4b ALIGN=MIDDLE  ALT=\"P%5Bb%5D=4b\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and the areas are,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5Ba%5D=a%5E2 ALIGN=MIDDLE  ALT=\"A%5Ba%5D=a%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5Bb%5D=b%5E2 ALIGN=MIDDLE  ALT=\"A%5Bb%5D=b%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "\"perimeter of one square exceeds that of another by 16\" <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%5Ba%5D=P%5Bb%5D%2B16 ALIGN=MIDDLE  ALT=\"P%5Ba%5D=P%5Bb%5D%2B16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "1.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4a=4b%2B16 ALIGN=MIDDLE  ALT=\"4a=4b%2B16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "its area is 44 less than 4 times the area of the other<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5Ba%5D=4A%5Bb%5D-44 ALIGN=MIDDLE  ALT=\"A%5Ba%5D=4A%5Bb%5D-44\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "2.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2=4b%5E2-44 ALIGN=MIDDLE  ALT=\"a%5E2=4b%5E2-44\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Use eq. 1 to come up with an expression for a in terms of b.<BR>\n" );
document.write( "1.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4a=4b%2B16 ALIGN=MIDDLE  ALT=\"4a=4b%2B16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=b%2B4 ALIGN=MIDDLE  ALT=\"a=b%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now substitute that expression for a in eq. 2 and solve for b.<BR>\n" );
document.write( "2.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2=4b%5E2-44 ALIGN=MIDDLE  ALT=\"a%5E2=4b%5E2-44\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28b%2B4%29%5E2=4b%5E2-44 ALIGN=MIDDLE  ALT=\"%28b%2B4%29%5E2=4b%5E2-44\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E2%2B8b%2B16=4b%5E2-44 ALIGN=MIDDLE  ALT=\"b%5E2%2B8b%2B16=4b%5E2-44\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3b%5E2-8b-60=0 ALIGN=MIDDLE  ALT=\"3b%5E2-8b-60=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283b%2B10%29%28b-6%29=0 ALIGN=MIDDLE  ALT=\"%283b%2B10%29%28b-6%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "We'll only solve for the positive b solution since a negative length doesn't make sense.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b-6=0 ALIGN=MIDDLE  ALT=\"b-6=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28b=6%29 ALIGN=MIDDLE  ALT=\"highlight%28b=6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "From eq. 1,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=b%2B4 ALIGN=MIDDLE  ALT=\"a=b%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=6%2B4 ALIGN=MIDDLE  ALT=\"a=6%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28a=10%29 ALIGN=MIDDLE  ALT=\"highlight%28a=10%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%5Ba%5D=4a=40 ALIGN=MIDDLE  ALT=\"P%5Ba%5D=4a=40\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%5Bb%5D=4b=24 ALIGN=MIDDLE  ALT=\"P%5Bb%5D=4b=24\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5Ba%5D=a%5E2=100 ALIGN=MIDDLE  ALT=\"A%5Ba%5D=a%5E2=100\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5Bb%5D=b%5E2=36 ALIGN=MIDDLE  ALT=\"A%5Bb%5D=b%5E2=36\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );