document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1207821>Question 1207821</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An artist has 50 inches of oak trim to frame a painting. The frame is to have a border 3 inches wide surrounding the painting. \r<BR>\n" );
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document.write( "(a) If the painting is square, what are its dimensions? What are the dimensions of the frame? \r<BR>\n" );
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document.write( "(b) If the painting is rectangular with a length twice its width, what are the dimensions of the painting? What are the dimensions of the frame? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #845939 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13209)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=845939\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Technically, the statement of the problem is deficient, because it does not say that the artist uses the full 50 inches of trim.<br><BR>\n" );
document.write( "Obviously the problem can be solved only if we assume that he does.  So....<br><BR>\n" );
document.write( "(a) If the painting is a square...<br><BR>\n" );
document.write( "Let x be the side length of the painting; then the perimeter is 4x, and the perimeter of the painting plus frame is 4(x+3) = 4x+12.<br><BR>\n" );
document.write( "4x+12 = 50<BR>\n" );
document.write( "4x = 38<BR>\n" );
document.write( "x = 38/4 = 19/2 = 9.5<br><BR>\n" );
document.write( "ANSWERS:<BR>\n" );
document.write( "The painting is a square 9.5 inches on a side.<BR>\n" );
document.write( "The frame is a square 9.5+2(3) = 15.5 inches on a side.<br><BR>\n" );
document.write( "(b) If the painting is a rectangle with a length twice its width...<br><BR>\n" );
document.write( "Let x be the width; then the length is 2x; the perimeter is 6x, and the perimeter of the frame is 6x+12.<br><BR>\n" );
document.write( "6x+12 = 50<BR>\n" );
document.write( "6x = 38<BR>\n" );
document.write( "x = 38/6 = 19/3 = 6 1/3<br><BR>\n" );
document.write( "ANSWERS:<BR>\n" );
document.write( "The painting is a rectangle 6 1/3 inches wide and 12 2/3 inches long.<BR>\n" );
document.write( "The frame is a rectangle 6 1/3 + 2(3) = 12 1/3 inches wide and 12 2/3 + 2(3) = 18 2/3 inches long.<br><BR>\n" );
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