document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1084371>Question 1084371</A>: <I><SPAN STYLE=\"word-break: break-all;\"> QUADRATIC EQUATION<BR>\n" );
document.write( "1) THE AREA OF A RECTANGULAR GROUND IS 54SQUARE M. IF THE LENGTH OF THE GROUND IS 2M LESS AND 1M MORE, IT WILL HAVE BEEN A SQUARE. FIND LENGTH AND BREADTH OF THE GROUND </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #698471 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=698471\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the area of the rectangle is 54 square meters.\r<BR>\n" );
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document.write( "if the length is 2 meters less and the width is 1 meter more, it will have been a square.\r<BR>\n" );
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document.write( "assume the length of the rectangle is x and the width of the rectangle is y.\r<BR>\n" );
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document.write( "in order for it to be a square, you need to shorten the length by 2 meters and increase the width by 1 meter.\r<BR>\n" );
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document.write( "you would get x-2 is the length and y + 1 is the width.\r<BR>\n" );
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document.write( "if it is now a square, then x-2 = y+1 because all sides are equal in a square.\r<BR>\n" );
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document.write( "you can solve for y to get y = x-3\r<BR>\n" );
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document.write( "go back to your rectangle.\r<BR>\n" );
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document.write( "the area is 54 square meters which is equal to x * y.\r<BR>\n" );
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document.write( "since y is equal to x-3, you get x * (x-3) = 54\r<BR>\n" );
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document.write( "simplify to get x^2 - 3x = 54\r<BR>\n" );
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document.write( "subtract 54 from both sides to get x^2 - 3x - 54 = 0\r<BR>\n" );
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document.write( "factor to get (x-9) * (x+6) = 0\r<BR>\n" );
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document.write( "solve for x to get x = 9 or x = -6\r<BR>\n" );
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document.write( "x can't be negative so x has to be 9\r<BR>\n" );
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document.write( "since x * y = 54, when x = 9, y has to be equal to 6\r<BR>\n" );
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document.write( "you get x * y = 9 * 6 = 54\r<BR>\n" );
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document.write( "it's a rectangle.\r<BR>\n" );
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document.write( "if you subtract 2 from the length and add 1 to the width, you get:\r<BR>\n" );
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document.write( "(9-2) * (6+1) = 7 * 7 = 49\r<BR>\n" );
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document.write( "it's now a square with each side equal to 7 and the area of the square is 49 square meters.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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