document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=259622>Question 259622</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A picture is 5cm longer than it is wide. It is in a frame that has a width of 4cm. The  area of the frame alone is 344cm squared. Find the dimensions of the picture. List steps </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #191055 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=191055\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A picture is 5cm longer than it is wide. It is in a frame that has a width of 4cm. The area of the frame alone is 344cm squared. Find the dimensions of the picture. List steps<BR>\n" );
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document.write( "Draw the picture of a rectangle inside a rectangle.<BR>\n" );
document.write( "Let the width of the picture be \"x\".<BR>\n" );
document.write( "Then length of the picture is \"x+5\".<BR>\n" );
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document.write( "Area of the picture is x(x+5) = x^2 + 5x<BR>\n" );
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document.write( "Outside rectangle has a width of x+8<BR>\n" );
document.write( "Outside rectangle has a length of x+5+8 = x+13<BR>\n" );
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document.write( "Total Area of the outside rectangle including the picture<BR>\n" );
document.write( "is (x+8)(x+13) = x^2 + 21x + 104 <BR>\n" );
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document.write( "Equation:<BR>\n" );
document.write( "Total area - picture area = fram area = 344<BR>\n" );
document.write( "x^2 + 21x + 104 -(x^2+5x) = 344<BR>\n" );
document.write( "16x + 104 = 344<BR>\n" );
document.write( "16x = 240<BR>\n" );
document.write( "x = 15<BR>\n" );
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document.write( "Width of the picture = x = 15 cm<BR>\n" );
document.write( "Length of the picture is \"x+5\" = 20 cm<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );