document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1172184>Question 1172184</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The width of Jennica’s small painting is 3 inches less than its length. A 1-inch border is put around the painting to protect the sides of her masterpiece. The area of the painting and the border is 108 square inches. What is the length and the width of Jennica’s original painting?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #797123 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=797123\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  The width of Jennica’s small painting is 3 inches less than its length.<BR>\n" );
document.write( " A 1-inch border is put around the painting to protect the sides of her masterpiece.<BR>\n" );
document.write( " The area of the painting and the border is 108 square inches.<BR>\n" );
document.write( " What is the length and the width of Jennica’s original painting?<BR>\n" );
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document.write( "Let L = length of original painting<BR>\n" );
document.write( "let w = it's width<BR>\n" );
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document.write( "write an equation for each statement<BR>\n" );
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document.write( "\" The width of Jennica’s small painting is 3 inches less than its length.\"<BR>\n" );
document.write( "w = L - 3<BR>\n" );
document.write( ";<BR>\n" );
document.write( "\" A 1-inch border is put around the painting to protect the sides of her masterpiece.\"<BR>\n" );
document.write( " 1 inch borders adds 2 inches to length and width<BR>\n" );
document.write( "Overall dimensions: (L+2) by (w+2)<BR>\n" );
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document.write( "\" The area of the painting and the border is 108 square inches.\"<BR>\n" );
document.write( "(L+2)*(w+2) = 108<BR>\n" );
document.write( "replace w with (L-3)<BR>\n" );
document.write( "(L+2)*((L-3)+2) = 108<BR>\n" );
document.write( "(L+2)*(L-1) = 108<BR>\n" );
document.write( "FOIL<BR>\n" );
document.write( "L^2 + 2L - L - 2 = 108<BR>\n" );
document.write( "L^2 + L - 2 - 108 = 0<BR>\n" );
document.write( "L^2 + L - 110 = 0<BR>\n" );
document.write( "Factors to<BR>\n" );
document.write( "(L+11)(L-10) = 0<BR>\n" );
document.write( "the positive solution<BR>\n" );
document.write( "L = 10 inches is the original length of the painting<BR>\n" );
document.write( "the<BR>\n" );
document.write( "10-3 = 7 inches is original width<BR>\n" );
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document.write( "Check solution with overall dimensions: 12 * 9 = 108\r<BR>\n" );
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document.write( "  </SPAN>\n" );
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