document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1122019>Question 1122019</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A large rectangular movie screen in an IMAX theater has an area of 10,509 square feet. Find the dimensions of the screen if it is 20 feet longer than it is wide. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #738056 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52879)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=738056\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .\r<BR>\n" );
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document.write( "Let me show you a quick, elegant and unexpected method of solving such problems.\r<BR>\n" );
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document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">\r\n" );
document.write( "Let x be the number (now unknown) which is exactly half way between the width and the length of the playground.\r\n" );
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document.write( "Then, as you understand,  the length = (x+10) inches and  the width = (x-10) inches.\r\n" );
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document.write( "The area = 10509 = length*width = (x+10)*(x-10).\r\n" );
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document.write( "Thus (x+10)*(x-10) = 10509,  which implies  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+-+100 ALIGN=MIDDLE  ALT=\"x%5E2+-+100\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 10509,  i.e.  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2 ALIGN=MIDDLE  ALT=\"x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 10509+100 = 10609.\r\n" );
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document.write( "Hence, x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2810609%29 ALIGN=MIDDLE  ALT=\"sqrt%2810609%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 103.\r\n" );
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document.write( "Then the length = 103+10 = 113  and the width = 103-10 = 93.\r\n" );
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document.write( "<U>Answer</U>.  The dimensions of the screen are  113 inches  and  93 inches.\r<BR>\n" );
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document.write( "Solved.\r<BR>\n" );
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document.write( "----------------------\r<BR>\n" );
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document.write( "See the lesson\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=https://www.algebra.com/algebra/homework/Surface-area/Three-methods-to-find-the-dims-of-a-rectangle-when-its-area-and-the-diff-of-dims-are-given.lesson>Three methods to find the dimensions of a rectangle when its area and the difference of two dimensions are given</A> \r<BR>\n" );
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document.write( "in this site.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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