document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=280482>Question 280482</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a square and rectangle have the same area. the length of the rectangle is 8 less than twice the side of the square. the width of the rectangle is 3 less than the side of the square. let x represent the length of the side of the square. a)write expressions for the dimensions of the rectangle. b) write an equation that represents the situation. c) find the dimension of the square and rectangle. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #203875 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=203875\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a square and rectangle have the same area. the length of the rectangle is 8 less than twice the side of the square. the width of the rectangle is 3 less than the side of the square. let x represent the length of the side of the square. a)write expressions for the dimensions of the rectangle. b) write an equation that represents the situation. c) find the dimension of the square and rectangle.\r<BR>\n" );
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document.write( "Let the side of the square be x\r<BR>\n" );
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document.write( "Length of rectangle = 2x-8\r<BR>\n" );
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document.write( "width of rectangle= x-3\r<BR>\n" );
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document.write( "(2x-8)(x-3)= x^2 ( since area of recatangle = area of the square\r<BR>\n" );
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document.write( "2x^2-6x-8x+24=x^2\r<BR>\n" );
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document.write( "x^2-14x+24=0\r<BR>\n" );
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document.write( "x^2-12x-2x+24=0\r<BR>\n" );
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document.write( "x(x-12)-2(x-12)=0\r<BR>\n" );
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document.write( "(x-12)(x-2)=0<BR>\n" );
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document.write( "x=2 or 12\r<BR>\n" );
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document.write( "x=12 satisifies the condition\r<BR>\n" );
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document.write( "side of square =12------------------------- Area =144\r<BR>\n" );
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document.write( "the sides of the rectangle are 16 and 9---------------- Area = 144\r<BR>\n" );
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document.write( " </SPAN>\n" );
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