document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=165927>Question 165927</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the perimeter of a square and a rectangle are equal. The length of the rectangle is 11cm and area of the square is 4cm^2 more than the area of the rectangle.find the side of the square? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #122284 by </B><A HREF=/tutors/aboutme.mpl?userid=oscargut><B>oscargut(2103)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=oscargut><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=oscargut><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=122284\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x= square's side<BR>\n" );
document.write( "Let y=length of the rectangle<BR>\n" );
document.write( "Let z=width of the rectangle\r<BR>\n" );
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document.write( "the perimeter of a square and a rectangle are equal<BR>\n" );
document.write( "then  4x=2(y+z)<BR>\n" );
document.write( "The length of the rectangle is 11cm <BR>\n" );
document.write( "then y=11<BR>\n" );
document.write( "area of the square is 4cm^2 more than the area of the rectangle<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2=yz%2B4 ALIGN=MIDDLE  ALT=\"x%5E2=yz%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "so the system to solve is:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x=2%2811%2Bz%29 ALIGN=MIDDLE  ALT=\"4x=2%2811%2Bz%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2=11z%2B4 ALIGN=MIDDLE  ALT=\"x%5E2=11z%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "then<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x=11%2Bz ALIGN=MIDDLE  ALT=\"2x=11%2Bz\"   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=z=2x-11 ALIGN=MIDDLE  ALT=\"z=2x-11\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "then\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2=11%282x-11%29%2B4 ALIGN=MIDDLE  ALT=\"x%5E2=11%282x-11%29%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-22x%2B117=0 ALIGN=MIDDLE  ALT=\"x%5E2-22x%2B117=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%2822+%2B-+sqrt%28+%28-22%29%5E2-4%2A1%2A117+%29%29%2F%282%29+ ALIGN=MIDDLE  ALT=\"x+=+%2822+%2B-+sqrt%28+%28-22%29%5E2-4%2A1%2A117+%29%29%2F%282%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > then\r<BR>\n" );
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document.write( " x=13 or x=9\r<BR>\n" );
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document.write( "if x=9 then z=18-11=7 <BR>\n" );
document.write( "if x=13 then z=26-11=15\r<BR>\n" );
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document.write( "then z=7 or z=15 but z<y=11 then z=7\r<BR>\n" );
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document.write( "Answer: x=9,z=7 and y=11\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );