document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=257447>Question 257447</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Sirs/Madams,\r<BR>\n" );
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document.write( "Kindly help my son in solving one item in his assignment. He was able to solve the other items except for this one. We will greatly appreciate your help.\r<BR>\n" );
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document.write( "\"The Length of a picture is four/thirds (4/3) times its Width. It is placed in a picture frame of uniform width of 2 centimeters. If the area of the frame is 100 square centimeters, what are the dimensions of the picture?\"\r<BR>\n" );
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document.write( "Thank you very much for your help. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #189342 by </B><A HREF=/tutors/aboutme.mpl?userid=jsmallt9><B>jsmallt9(3758)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jsmallt9><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=189342\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x = the width of the picture.<BR>\n" );
document.write( "Then, since the length is 4/3 of the width, the length of the picture is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284%2F3%29x+=+4x%2F3 ALIGN=MIDDLE  ALT=\"%284%2F3%29x+=+4x%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Let's look at a picture of the situation:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28400%2C+400%2C+0%2C+12%2C+0%2C+12%2C+line%281%2C+1%2C+1%2C+11%29%2C+line%289%2C+1%2C+9%2C+11%29%2C+line%283%2C+3%2C+3%2C+9%29%2C+line%287%2C+3%2C+7%2C+9%29%2C+line%281%2C+1%2C+9%2C+1%29%2C+line%281%2C+3%2C+9%2C+3%29%2C+line%281%2C+9%2C+9%2C+9%29%2C+line%281%2C+11%2C+9%2C+11%29%2C+locate%289.1%2C+10%2C+2%29%2C+locate%288%2C+9%2C+2%29%2C+locate%282%2C+9%2C+2%29%2C+locate%285%2C+8.7%2C+x%29%2C+locate%286%2C+6.2%2C+4x%2F3%29%2C+locate%289.1%2C+2.5%2C+2%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The inner rectangle is the picture.<br><BR>\n" );
document.write( "The four outer rectangles make up the frame. The two larger rectangles, top and bottom, have a length of 2 + x + 2 or x+4 and a width of 2. The area of each is (x+4)2 = 2x+8.<br><BR>\n" );
document.write( "The two smaller rectangles on the sides have a length of 4x/3 and a width of 2. The area of each is 4x/3*2 = 8x/3.<br><BR>\n" );
document.write( "The combined areas of the four rectangles is 2x+8 + 2x+8 + 8x/3 + 8x/3 = 4x+16+16x/3. We are told that the area of the frame is 100 square centimeters. So<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%2B16%2B16x%2F3+=+100 ALIGN=MIDDLE  ALT=\"4x%2B16%2B16x%2F3+=+100\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "We can use Algebra to solve this. We'll start by eliminating the fraction by multiplying both sides by 3:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12x+%2B+48+%2B+16x+=+300 ALIGN=MIDDLE  ALT=\"12x+%2B+48+%2B+16x+=+300\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "which simplifies to:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=28x+%2B+48+=+300 ALIGN=MIDDLE  ALT=\"28x+%2B+48+=+300\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Subtracting 48 from each side we get:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=28x+=+252 ALIGN=MIDDLE  ALT=\"28x+=+252\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Dividing both sides by 28 we get:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+9 ALIGN=MIDDLE  ALT=\"x+=+9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Since x is the width of the picture the width is 9 centimeters. The length picture is 4x/3 = 4(9)/3 = 12 centimeters. </SPAN>\n" );
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