document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=777611>Question 777611</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A wire 264 cm in length is to be cut into two pieces, one to form a rectangle whose length is four less than twice the width, and the other to form a square whose side is equal to the sum of the width and the length of the rectangle. How long is the shorter of the cut pieces of the wire? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #474215 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=474215\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A wire 264 cm in length is to be cut into two pieces, one to form a rectangle whose length is four less than twice the width, and the other to form a square whose side is equal to the sum of the width and the length of the rectangle. How long is the shorter of the cut pieces of the wire?\r<BR>\n" );
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document.write( "one to form a rectangle whose length is four less than twice the width,\r<BR>\n" );
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document.write( "let width be x <BR>\n" );
document.write( "then length  2x-4\r<BR>\n" );
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document.write( "Perimeter = 2(x+2x-4)<BR>\n" );
document.write( "=2(3x-4)<BR>\n" );
document.write( "=6x-8\r<BR>\n" );
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document.write( "a square whose side is equal to the sum of the width and the length of the rectangle.\r<BR>\n" );
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document.write( "side of square = x+(2x-4)<BR>\n" );
document.write( "Perimeter = 4(x+(2x-4))<BR>\n" );
document.write( "=4(3x-4)<BR>\n" );
document.write( "=12x-16\r<BR>\n" );
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document.write( "Perimeter of square + perimeter of rectangle = length of wire\r<BR>\n" );
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document.write( "6x-8+12x-16=264<BR>\n" );
document.write( "18x-24=264<BR>\n" );
document.write( "18x=264+24<BR>\n" );
document.write( "18x=288<BR>\n" );
document.write( "/18<BR>\n" );
document.write( "x=16\r<BR>\n" );
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document.write( "perimeter of rectangle = 6x-8<BR>\n" );
document.write( "=16*6-8=88 cm<BR>\n" );
document.write( "perimeter of square = 12x-16<BR>\n" );
document.write( "=12*16-16<BR>\n" );
document.write( "=192-16<BR>\n" );
document.write( "=176 cm\r<BR>\n" );
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document.write( "length of two parts 88 & 176 cm\r<BR>\n" );
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document.write( " </SPAN>\n" );
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