document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=136228>Question 136228</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I solved this problem again by trial and error but I am sure there must be a formula.  Can you give it to me?  <BR>\n" );
document.write( "Hector paints a picture which is 10 inches longer than it is wide.  When he frames it, the outside dimensions are each two inches longer.  If the area of the picture with the frame is 40 square inches more than the area of the picture without its frame, what is the length of the orginal painting?  <BR>\n" );
document.write( " I know that length times width equals area but I just can't get the formula.<BR>\n" );
document.write( "I got 4 by 14 for the dimensions. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #99782 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=99782\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Width of the picture:  x<BR>\n" );
document.write( "Length of the picture: x + 10<BR>\n" );
document.write( "Area of just the picture:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%28x%2B10%29=x%5E2%2B10x ALIGN=MIDDLE  ALT=\"x%28x%2B10%29=x%5E2%2B10x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Width of the picture with frame:  x + 2<BR>\n" );
document.write( "Length of the picture with frame:  x + 12<BR>\n" );
document.write( "Area of picture and frame:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B2%29%28x%2B12%29=x%5E2%2B14x%2B24 ALIGN=MIDDLE  ALT=\"%28x%2B2%29%28x%2B12%29=x%5E2%2B14x%2B24\"   DISABLED_style= \"max-width:90%; height:auto;\" > and this is 40 greater than the area of just the picture, so:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B14x%2B24=x%5E2%2B10x%2B40 ALIGN=MIDDLE  ALT=\"x%5E2%2B14x%2B24=x%5E2%2B10x%2B40\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Collecting terms:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x=16 ALIGN=MIDDLE  ALT=\"4x=16\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=4 ALIGN=MIDDLE  ALT=\"x=4\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the width and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4+%2B+10=+14 ALIGN=MIDDLE  ALT=\"4+%2B+10=+14\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the length of the original picture.  With the frame, the width is 6 and the length is 16.\r<BR>\n" );
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document.write( "4 * 14 = 56<BR>\n" );
document.write( "6 * 16 = 96<BR>\n" );
document.write( "And the difference is 40, answer checks. </SPAN>\n" );
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