document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=566994>Question 566994</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The page of a book measures 6in by 9in. A uniform border around the page leaves 28in^2 for type. What are the dimensions of the type area?\r<BR>\n" );
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document.write( "I have no idea where to begin with this. How do I solve this? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #366405 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=366405\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The page of a book measures 6in by 9in. A uniform border around the page leaves 28in^2 for type. What are the dimensions of the type area? <BR>\n" );
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document.write( "Draw the picture of a rectangle inside a rectangle.<BR>\n" );
document.write( "The outer rectangle (including the inner triangle) <BR>\n" );
document.write( "has area = 6*9 = 54 sq in.<BR>\n" );
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document.write( "The dimensions of the inner rectangle are:<BR>\n" );
document.write( "width = 6-2x<BR>\n" );
document.write( "length = 9-2x<BR>\n" );
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document.write( "Equation:<BR>\n" );
document.write( "(6-2x)(9-2x) = 28<BR>\n" );
document.write( "54 - 12x -18x + 4x^2 = 28<BR>\n" );
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document.write( "4x^2 - 30x + 26 = 0<BR>\n" );
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document.write( "2x^2 - 15x + 13 = 0<BR>\n" );
document.write( "2x^2 - 13x - 2x + 13 = 0<BR>\n" );
document.write( "x(2x-13)-(2x-13) = 0<BR>\n" );
document.write( "(2x-13)(x-1) = 0<BR>\n" );
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document.write( "Possible solutions: <BR>\n" );
document.write( "x = 13/2 or x = 1<BR>\n" );
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document.write( "Find Width and length:<BR>\n" );
document.write( "width = 6-2x<BR>\n" );
document.write( "length = 9-2x<BR>\n" );
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document.write( "If x = 1 you get:<BR>\n" );
document.write( "width = 6-2x = 4<BR>\n" );
document.write( "length = 9-2x = 7<BR>\n" );
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document.write( "If x = (13/2) you get:<BR>\n" );
document.write( "width = 6-2(13/2) is negative<BR>\n" );
document.write( "length = 9-2(13/2) is negative<BR>\n" );
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document.write( "So the only solution is width = 4 and length 7<BR>\n" );
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document.write( "cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "============= </SPAN>\n" );
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