document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=101927>Question 101927</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Julie stone designed a rectangular patio that is 25 ft by 40 ft. This patio is surrounded by a terraced strip of uniform width planted with small trees and shrubs. if the area A of this terraced strip is 504 ft^2, find the width of x of the strip.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #74189 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=74189\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The essence of the problem:<BR>\n" );
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document.write( "a rectangle that is 25 ft by 40 ft. Surrounded by a strip of uniform width. if the area of this strip is 504 ft^2, find the width of x of the strip.<BR>\n" );
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document.write( "Given that: x = width of the strip<BR>\n" );
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document.write( "Overall area:<BR>\n" );
document.write( "(2x+40)*(2x+25) = 4x^2 + 130x + 1000: FOILed <BR>\n" );
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document.write( "Rectangle area:<BR>\n" );
document.write( "40 * 25 = 1000<BR>\n" );
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document.write( "Overall area - rectangle area = strip area<BR>\n" );
document.write( "(4x^2 + 130x + 1000) - 1000 = 504<BR>\n" );
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document.write( "4x^2 + 130x + 1000 - 1000 - 504 = 0 <BR>\n" );
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document.write( "4x^2 + 130x - 504 = 0; a quadratic equation<BR>\n" );
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document.write( "Simplify, divide by 2:<BR>\n" );
document.write( "2x^2 + 65x - 252 = 0<BR>\n" );
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document.write( "Use the quadratic formula to find x: a=2; b=65; c=-252<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-65+%2B-+sqrt%284225+-+4+%2A+2%2A+-252+%29%29%2F%282%2A2%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-65+%2B-+sqrt%284225+-+4+%2A+2%2A+-252+%29%29%2F%282%2A2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-65+%2B-+79%29%2F%284%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-65+%2B-+79%29%2F%284%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Solution 1:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-144%29%2F4 ALIGN=MIDDLE  ALT=\"x+=+%28-144%29%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = -36; obviously this is NOT the solution<BR>\n" );
document.write( "Solution 2:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28%2B14%29%2F4 ALIGN=MIDDLE  ALT=\"x+=+%28%2B14%29%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = 3.5 ft is the width of the strip<BR>\n" );
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document.write( "Check our solution: 2x = 2(3.5) = 7<BR>\n" );
document.write( "Overall area: 47 * 32 = 1504<BR>\n" );
document.write( "Rectanglarea: 40 * 25 = 1000<BR>\n" );
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document.write( "Difference area ******504 as given  <BR>\n" );
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