document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=87923>Question 87923</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/091809190X/algebrahomeworkh>Introductory and Intermediate Algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Could you please help with the following problem:  A picture 9 inches wide and 12 inches long is surrounded by a frame of uniform width.  The area of the frame only is 162 square inches.  Find the width of the frame.\r<BR>\n" );
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document.write( "Thank you very much for any help you can provide. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #63796 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=63796\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A picture 9 inches wide and 12 inches long is surrounded by a frame of uniform width.  The area of the frame only is 162 square inches.  Find the width of the frame.<BR>\n" );
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document.write( "Draw the picture of the frame around the picture.<BR>\n" );
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document.write( "Let the width of the frame be \"x\"inches.<BR>\n" );
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document.write( "Area of picture with frame around is length*width<BR>\n" );
document.write( "Width = 9 + 2x inches<BR>\n" );
document.write( "length = 12 + 2x inches<BR>\n" );
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document.write( "Larger area = (9+2x)(12+2x)<BR>\n" );
document.write( "=2(9+2x)(6+x)<BR>\n" );
document.write( "=2[54+21x+2x^2]<BR>\n" );
document.write( "=4x^2 + 42x + 108<BR>\n" );
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document.write( "Area of frame = larger area - 9*12<BR>\n" );
document.write( "= 4x^2 + 42x +108 - 108<BR>\n" );
document.write( "= 4x^2 + 42x<BR>\n" );
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document.write( "Area of frame = 162 sq. in.<BR>\n" );
document.write( "4x^2+42x= 162<BR>\n" );
document.write( "2x^2 + 21x -81 = 0<BR>\n" );
document.write( "x = [-21+33]/4 = 3 or x = [-21-33]/4 = -54/4 = -27/2<BR>\n" );
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document.write( "Realistic Answer: width = 3 inches<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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