document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=168501>Question 168501</A>: <I><SPAN STYLE=\"word-break: break-all;\"> painting if 50 feet by 30ft they want to put a border to be 25% of the painting what is the exact width of the border? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #124187 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=124187\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> painting of 50 feet by 30ft they want to put a border to be 25% of the painting what is the exact width of the border?<BR>\n" );
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document.write( "If I read you correctly the area of the border is to be 25% of the area<BR>\n" );
document.write( "of the painting.<BR>\n" );
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document.write( "The area of the painting is 50x30 = 1500 sq ft<BR>\n" );
document.write( "25% of 1500 = 375 sq. ft.<BR>\n" );
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document.write( "Assume the width of the border is x ft.<BR>\n" );
document.write( "At this point you should sketch an appropriate figure of the painting with<BR>\n" );
document.write( "its border.<BR>\n" );
document.write( "The width of the border is 50+2x ft.<BR>\n" );
document.write( "The length of the border is 30+2x ft.<BR>\n" );
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document.write( "So, the area of the picture INCLUDING its border is (50+2x)(30+2x) sq. ft.<BR>\n" );
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document.write( "EQUATION:<BR>\n" );
document.write( "Entire area - picture area = 375 sq ft<BR>\n" );
document.write( "(50+2x)(30+2x) - 1500 = 375<BR>\n" );
document.write( "1500 + 160x + 4x^2 = 375<BR>\n" );
document.write( "4x^2 + 160x = 1125<BR>\n" );
document.write( "4x^2 + 160x - 1125 = 0<BR>\n" );
document.write( "x=6.1007663... ft<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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