document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=170089>Question 170089</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0618609539/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> A small garden measures 8 feet by 10 feet. A uniform border around the garden increases the total area to 143 square feet. What is the 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 #125536 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=125536\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A small garden measures 8 feet by 10 feet. A uniform border around the garden increases the total area to 143 square feet. What is the width of the border?<BR>\n" );
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document.write( "Draw the picture of the garden with its border.<BR>\n" );
document.write( "Original area of the garden = 80 sq. ft.<BR>\n" );
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document.write( "Let the width of the border be \"x\".<BR>\n" );
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document.write( "New area = (8+2x)(10+2x) = 80 +143<BR>\n" );
document.write( "80 + 36x + 4x^2 = 80 + 143<BR>\n" );
document.write( "4x^2 + 36x - 143 = 0<BR>\n" );
document.write( "x = [-36 +- sqrt(36^2 - 4*4*-143]/8\r<BR>\n" );
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document.write( "x = [-36 +- sqrt(3584)]/8\r<BR>\n" );
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document.write( "x = [-36 +- 59.87]/8<BR>\n" );
document.write( "Positive solution:\r<BR>\n" );
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document.write( "x = 2.98 ft. (width of the border)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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