document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=607223>Question 607223</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The dimensions of a rectangle garden are 3 feet by 10 feet. When both demensions are increased by the same amount, the area is doubled. What are the demensions of the new garden? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #382521 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=382521\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The dimensions of a rectangle garden are 3 feet by 10 feet.<BR>\n" );
document.write( " When both dimensions are increased by the same amount, the area is doubled.<BR>\n" );
document.write( " What are the dimensions of the new garden?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Find the original area: 3 * 10 = 30, then obviously 60 sq/ft is the doubled area<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let x = increase of length and width to double the area<BR>\n" );
document.write( "(x+3)(x+10) = 60<BR>\n" );
document.write( "FOIL<BR>\n" );
document.write( "x^2 + 10x + 3x + 30 - 60 = 0<BR>\n" );
document.write( "A quadratic equation<BR>\n" );
document.write( "x^2 + 13x - 30 = 0<BR>\n" );
document.write( "Factors easily to<BR>\n" );
document.write( "(x+15)(x-2) = 0<BR>\n" );
document.write( "Positive solution is all we want here<BR>\n" );
document.write( "x = 2<BR>\n" );
document.write( "New dimensions: 5 by 12 (which = 60 sq/ft) </SPAN>\n" );
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