document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=902111>Question 902111</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me!!!\r<BR>\n" );
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document.write( "The area of 10 cm by 25 cm rectangle is doubled by what equal amount must each dimension be increased?\r<BR>\n" );
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document.write( "assignment for tomorrow. help me asap!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #547114 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=547114\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the area is increased by the square of the increase in the dimensions.\r<BR>\n" );
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document.write( "this means that, if the dimensions are increased by a factor of 2, then the area is increased by a factor of 2^2 = 4.\r<BR>\n" );
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document.write( "working backward, if the area is increased by a factor of 4, then the dimensions are increased by a factor of sqrt(4) = 2.\r<BR>\n" );
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document.write( "in your problem, the area was increased by a factor of 2.\r<BR>\n" );
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document.write( "using the rule shown above, this means that the dimensions must be increased by a factor of sqrt(2).\r<BR>\n" );
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document.write( "let's see if this rule holds.\r<BR>\n" );
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document.write( "your original area is 10 * 25 = 250 square units.\r<BR>\n" );
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document.write( "you multiply the area by a factor of 2 which means your new area is 500 square units.\r<BR>\n" );
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document.write( "you need to multiply your dimensions by a factor of sqrt(2) if the rule holds.\r<BR>\n" );
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document.write( "you will get:\r<BR>\n" );
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document.write( "10*sqrt(2)*25*sqrt(2) = 10*25*sqrt(2)*sqrt(2)= 10*25*2 = 500.\r<BR>\n" );
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document.write( "the rule works.\r<BR>\n" );
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document.write( "your solution is that each dimension must be multiplied by a factor of sqrt(2).\r<BR>\n" );
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document.write( " </SPAN>\n" );
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