document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1162296>Question 1162296</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a rectangler is 24cm long and 16cm wide. when each dimension is increased by the same amount, then area is doubled. find the new dimensions. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #786085 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13203)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=786085\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "If this is a problem for learning how to solve problems using formal algebra, then go ahead:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2824%2Bx%29%2816%2Bx%29+=+2%2A%2824%2A16%29 ALIGN=MIDDLE  ALT=\"%2824%2Bx%29%2816%2Bx%29+=+2%2A%2824%2A16%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B40x%2B384+=+768 ALIGN=MIDDLE  ALT=\"x%5E2%2B40x%2B384+=+768\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B40x-384+=+0 ALIGN=MIDDLE  ALT=\"x%5E2%2B40x-384+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "To solve this using algebra (instead of the quadratic formula), you need to find two numbers with a product of 384 and a difference of 40.<br><BR>\n" );
document.write( "That is no less work than solving the problem as given by logical trial and error.<br><BR>\n" );
document.write( "Add the same number to 16 and 24, multiply the two resulting numbers, and see if the product is twice 16*24.<br><BR>\n" );
document.write( "A student with very good mental math skills might see the answer almost immediately: 32*24 is twice 16*24; and 16+8=24 and 24+8=32.<br><BR>\n" );
document.write( "ANSWER: The new dimensions are 24cm and 32cm.<br><BR>\n" );
document.write( " </SPAN>\n" );
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