document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=60956>Question 60956</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0534400329/algebrahomeworkh>Algebra For College Students</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> A rectangular piece of cardboard is 2 units longer than it is wide. From each of its corners a square piece 2 units on a side is cut out. The flaps are then turned up to form an open box that has a volume of 70 cubic units. Find the length and width of the original piece of cardboard. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #41982 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=41982\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A rectangular piece of cardboard is 2 units longer than it is wide. From each of its corners a square piece 2 units on a side is cut out. The flaps are then turned up to form an open box that has a volume of 70 cubic units. Find the length and width of the original piece of cardboard><BR>\n" );
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document.write( "Making a diagram of this will make easier to understand<BR>\n" );
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document.write( "Let x = Length of the longer side; (x-2) = width; <BR>\n" );
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document.write( "After cutting out the square pieces which are the dimensions of the box:<BR>\n" );
document.write( "(x-4) by (x-2)-4 by 2 so be can write the volume as:  2(x-4)(x-6) = 70<BR>\n" );
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document.write( "2(x^2 - 10x + 24) = 70<BR>\n" );
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document.write( "Simplify, divide equation by 2:<BR>\n" );
document.write( "x^2 - 10x + 24 = 35<BR>\n" );
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document.write( "x^2 - 10x + 24 - 35<BR>\n" );
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document.write( "x^2 - 10x - 11 = 0<BR>\n" );
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document.write( "Factors to:<BR>\n" );
document.write( "(x-11)(x+1) = 0<BR>\n" );
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document.write( "x = +11 has to be the solution<BR>\n" );
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document.write( "Dimensions of original rectangle: 11 by 9 units<BR>\n" );
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document.write( "Check using dimensions of box: 7 * 5 * 2 = 70 <BR>\n" );
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document.write( "Could you follow this OK?? \r<BR>\n" );
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document.write( " </SPAN>\n" );
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