document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1059552>Question 1059552</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A wooden piece 90 cm long is cut into two pieces of different lengths. The longer piece, a, is used to form a rectangle with width x cm and length y cm, and the shorter piece is used to form a square with side z cm, such that the rectangle and the square have the same areas. Prove that x+y=a/2, and z=(90-a)/4.\r<BR>\n" );
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document.write( "Any help is appreciated! If it is possible, could you draw a diagram? Thanks! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #674822 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=674822\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The 4 sides of the rectangle, a, are:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+%2B+x+%2B+y+%2B+y+=+2x+%2B+2y+ ALIGN=MIDDLE  ALT=\"+x+%2B+x+%2B+y+%2B+y+=+2x+%2B+2y+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2x+%2B+2y+=+a+ ALIGN=MIDDLE  ALT=\"+2x+%2B+2y+=+a+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2%2A%28+x+%2B+y+%29+=+a+ ALIGN=MIDDLE  ALT=\"+2%2A%28+x+%2B+y+%29+=+a+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+%2B+y+=+a%2F2+ ALIGN=MIDDLE  ALT=\"+x+%2B+y+=+a%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "The 4 sides of the square add up to:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+z+%2B+z+%2B+z+%2B+z+=+4z+ ALIGN=MIDDLE  ALT=\"+z+%2B+z+%2B+z+%2B+z+=+4z+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "If the piece of wood was <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+90+ ALIGN=MIDDLE  ALT=\"+90+\"   DISABLED_style= \"max-width:90%; height:auto;\" > cm long<BR>\n" );
document.write( "then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4z+=+90+-+a+ ALIGN=MIDDLE  ALT=\"+4z+=+90+-+a+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+z+=+%28+90+-+a+%29+%2F+4+ ALIGN=MIDDLE  ALT=\"+z+=+%28+90+-+a+%29+%2F+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "------------------------<BR>\n" );
document.write( "Hope this helps\r<BR>\n" );
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document.write( " </SPAN>\n" );
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