document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=423350>Question 423350</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The area of a rectangle field is 9x^2 - 6xy + y^2 sq units. Find Expressions for length and breadth of the field. When x=12 units and y=6 units please evaluate length and breadth. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #295320 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=295320\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> area is equal to:\r<BR>\n" );
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document.write( "9x^2 - 6xy + y^2\r<BR>\n" );
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document.write( "this would be factored as:\r<BR>\n" );
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document.write( "(3x-y) * (3x-y)\r<BR>\n" );
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document.write( "multiply these factors out and you get 9x^2 - 6xy + y^2 which is the original equation.\r<BR>\n" );
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document.write( "when x = 12 and y = 6, this becomes:\r<BR>\n" );
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document.write( "(36-6) * (36-6) = 30*30 = 900 square units.\r<BR>\n" );
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document.write( "plug those values into the original equation:\r<BR>\n" );
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document.write( "9x^2 - 6xy + y^2 becomes 9*12^2 - 6*12*6 + 6^2 becomes 9*144 - 12*36 + 36 becomes 1296 - 432 + 36 becomes 900.\r<BR>\n" );
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document.write( "you get the same answer, as you should.\r<BR>\n" );
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document.write( "the rectangle field is really a square.\r<BR>\n" );
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document.write( "you get this from the fact that (3x-y) * (3x-y) = area of the field.\r<BR>\n" );
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document.write( "since the area of a rectangle is length * width, then:\r<BR>\n" );
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document.write( "the length is 3x-y and the width is 3x-y.\r<BR>\n" );
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document.write( "when x = 12 and y = 6, this comes out to a length of 30 and a width of 30.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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