document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1089094>Question 1089094</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The length of a rectangular piece of cardboard is 15 inches longer than its width. If a 5 inch square is cut from each corner of the cardboard, and the remaining piece is folded up to form a box, the volume of the box is 2,250 cubic inches. Find the sum of the length and the width, in inches, of the original cardboard. </SPAN>\n" );
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document.write( "length is x+15<BR>\n" );
document.write( "after cutting the 5 inch square, which involved both length and width twice<BR>\n" );
document.write( "x-10 and x+5 are the dimensions<BR>\n" );
document.write( "5 is the height<BR>\n" );
document.write( "the volume is (x^2-5x-50)*5=2250<BR>\n" );
document.write( "divide by 5 both sides<BR>\n" );
document.write( "x^2-5x-50=450<BR>\n" );
document.write( "x^2-5x-500=0<BR>\n" );
document.write( "(x-25)(x+20)=0<BR>\n" );
document.write( "x=25 inches, only positive root, original width.<BR>\n" );
document.write( "x+15=40 inches, original length.<BR>\n" );
document.write( "---------------------<BR>\n" );
document.write( "Check.<BR>\n" );
document.write( "Box is 15 inches wide by 30 inches long by 5 inches high, and that is a volume of 2250 in^3. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );