document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=66019>Question 66019</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A rectangle is 10cm longer than it is wide. A line segment cute the area enclosed into two pieces, one of which is a square. The area of the rectangle os 118cm^2 more than the area of the square. What is the width of the rectangle? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #46742 by </B><A HREF=/tutors/aboutme.mpl?userid=praseenakos@yahoo.com><B>praseenakos@yahoo.com(507)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=praseenakos@yahoo.com><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=praseenakos@yahoo.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=46742\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> QUESTION:\r<BR>\n" );
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document.write( "A rectangle is 10cm longer than it is wide. A line segment cute the area enclosed into two pieces, one of which is a square. The area of the rectangle os 118cm^2 more than the area of the square. What is the width of the rectangle?\r<BR>\n" );
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document.write( "ANSWER:\r<BR>\n" );
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document.write( "Given that length of a rectangle is 10cm longer than it is width,\r<BR>\n" );
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document.write( "So let's take  width = x cm  ( because length is given in terms of width.)\r<BR>\n" );
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document.write( "Then we have length = (x+10) cm\r<BR>\n" );
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document.write( "Then area of rectangle is = length * width\r<BR>\n" );
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document.write( "==> A = x ( x + 10 )\r<BR>\n" );
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document.write( "==>   = x^2 + 10x\r<BR>\n" );
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document.write( "Next it is given that area of rectangle is  118 more that of square.\r<BR>\n" );
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document.write( "Here we can take square with side \"x\"\r<BR>\n" );
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document.write( "So area of square = x*x = x^2\r<BR>\n" );
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document.write( "that is,\r<BR>\n" );
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document.write( "area of rectangle = area of square + 118\r<BR>\n" );
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document.write( "==>  x^2 + 10 x = x^2 + 118 \r<BR>\n" );
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document.write( "Subtract x^2 from both sides,\r<BR>\n" );
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document.write( "==> x^2 + 10 x - x^2 = x^2 + 118 -x^2\r<BR>\n" );
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document.write( "==> 10x = 118\r<BR>\n" );
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document.write( "Divide both sides by 10\r<BR>\n" );
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document.write( "==> 10x/10 = 118/10\r<BR>\n" );
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document.write( "==> x = 11.8\r<BR>\n" );
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document.write( "That is width of the rectangle is 11.8 cm\r<BR>\n" );
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document.write( "Hope you understood.\r<BR>\n" );
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document.write( "Regards.\r<BR>\n" );
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document.write( "praseena.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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