document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1005090>Question 1005090</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The length of a picture is 4/3 times its width. It is placed in a picture frame of uniform width of 2cms. If the area is 100 sq. cms, what are the dimensions of the picture? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #621584 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=621584\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The length of a picture is 4/3 times its width.<BR>\n" );
document.write( "It is placed in a picture frame of uniform width of 2cms.<BR>\n" );
document.write( "If the area is 100 sq. cms, what are the dimensions of the picture?:<BR>\n" );
document.write( ":<BR>\n" );
document.write( "let L = the length of the picture<BR>\n" );
document.write( "let w = the width of the picture<BR>\n" );
document.write( "then because of the 2\" uniform width of the frame,<BR>\n" );
document.write( "(L+4) = the length including the frame<BR>\n" );
document.write( "(W+4) = the width including the frame<BR>\n" );
document.write( ";<BR>\n" );
document.write( "Assuming they mean the whole area including the frame = 100 sq/cm <BR>\n" );
document.write( "(L+4) * (W+4) = 100<BR>\n" );
document.write( "Given that<BR>\n" );
document.write( "L = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F3 ALIGN=MIDDLE  ALT=\"4%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >W, replace L<BR>\n" );
document.write( "(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F3 ALIGN=MIDDLE  ALT=\"4%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >W+4)(W+4) = 100<BR>\n" );
document.write( "FOIL<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F3 ALIGN=MIDDLE  ALT=\"4%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >W^2 + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16%2F3 ALIGN=MIDDLE  ALT=\"16%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >W + 4W + 16 = 100 <BR>\n" );
document.write( "subtract 100 from both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F3 ALIGN=MIDDLE  ALT=\"4%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >W^2 + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16%2F3 ALIGN=MIDDLE  ALT=\"16%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >W + 4W - 84 = 0 <BR>\n" );
document.write( "multiply by 3, get rid of the fraction<BR>\n" );
document.write( "4W^2 + 16W + 12W - 252 = 0<BR>\n" );
document.write( "4W^2 + 28W - 252 = 0<BR>\n" );
document.write( "Simplify, divide by 4<BR>\n" );
document.write( "W^2 + 7W - 63 = 0<BR>\n" );
document.write( "using the quadratic formula, the positive solution<BR>\n" );
document.write( "W = 5.175 cm is the width of the picture<BR>\n" );
document.write( "then<BR>\n" );
document.write( "L = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F3 ALIGN=MIDDLE  ALT=\"4%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >*5.175<BR>\n" );
document.write( "L = 6.9 cm is the length of the picture<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "See if the works out<BR>\n" );
document.write( "the frame dimensions are 4\" longer than the picture<BR>\n" );
document.write( "9.175 * 10.9 = 100.0 sq/cm </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );