document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=988637>Question 988637</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A rectangle and a square have the same area. The width of the rectangle is 48 cm less than the side of the square and the length of the rectangle is 128 cm more than twice the width of the square. What are the dimensions of the rectangle?\r<BR>\n" );
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document.write( "I am having trouble translating the application into a formula. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #609151 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=609151\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> L=rectangle length<BR>\n" );
document.write( "W=width<BR>\n" );
document.write( "side of a square is S<BR>\n" );
document.write( "S-48=W<BR>\n" );
document.write( "2S+128=L  since square has width S.<BR>\n" );
document.write( "Rectangle has area (2S+128)(s-48)=S^2<BR>\n" );
document.write( "2S^2-96S+128S-6144=S^2<BR>\n" );
document.write( "S^2+32S-6144=0<BR>\n" );
document.write( "S=-(1/2){-32 +/- sqrt (32^2+4*6144)}, the sqrt term equals 160; [-32+160]/2  using quadratic formula<BR>\n" );
document.write( "S=64<BR>\n" );
document.write( "W=16<BR>\n" );
document.write( "L=128*2=256<BR>\n" );
document.write( "Area of square is 64^2=4096 cm^2<BR>\n" );
document.write( "Area of rectangle is 256*16=4096 cm^2<BR>\n" );
document.write( "Rectangle is 256 cm by 16 cm<BR>\n" );
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