document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1160125>Question 1160125</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A rectangular garden is surrounded by a walk of uniform width. The area of the garden is 180 square yards. If the dimensions of the garden plus the walk are 16 yards by 24 yards (height by base), find the dimensions of the garden. What is the height? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #783276 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=783276\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "A rectangular garden is surrounded by a walk of uniform width.let it be x yards\r<BR>\n" );
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document.write( " The area of the garden is 180 square yards.\r<BR>\n" );
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document.write( "the dimensions of the garden plus the walk are 16 yards by 24 yards \r<BR>\n" );
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document.write( "length of garden = 16-2x<BR>\n" );
document.write( "width of garden = 24-2x<BR>\n" );
document.write( "Area of garden = L * W<BR>\n" );
document.write( "(16-2x)(24-2x) =180<BR>\n" );
document.write( "384-32x-48x+4x^2= 180<BR>\n" );
document.write( "simplify<BR>\n" );
document.write( "4x^2-80x +204=0<BR>\n" );
document.write( "divide by 4<BR>\n" );
document.write( "x^2-20x+51=0<BR>\n" );
document.write( "x^2-17x-3x+51=0<BR>\n" );
document.write( "x(x-17)-3(x-17) =0<BR>\n" );
document.write( "(x-17)(x-3) =0<BR>\n" );
document.write( "x=17 or 3<BR>\n" );
document.write( "x cannot be 17\r<BR>\n" );
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document.write( "so x=3\r<BR>\n" );
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document.write( "Length 16-6= 10<BR>\n" );
document.write( "24-6 =18 <BR>\n" );
document.write( "Garden cannot have height . It has length and width.<BR>\n" );
document.write( "Dimensions of garden = 10 & 18 yards </SPAN>\n" );
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