document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=64387>Question 64387</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0395977223/algebrahomeworkh> Algebra Structure and Method</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> I do not understand how to set this problem up. \r<BR>\n" );
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document.write( "A small city park consists of a rectangular lawn surrounded on all sides by a 330m2(squared) borded of flowers 2.5m wide. Find the area of the lawn if the entire park is 5m longer than it is wide. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #45016 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=45016\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A small city park consists of a rectangular lawn surrounded on all sides by a 330m2(squared) borded of flowers 2.5m wide. Find the area of the lawn if the entire park is 5m longer than it is wide.<BR>\n" );
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document.write( "Draw the picture: a rectangle inside a larger rectangle.<BR>\n" );
document.write( "Let the dimensions of the outer rectangle be x and x+5; label the picture with these dimensions.<BR>\n" );
document.write( "The dimensions of the inner rectangle are x-5 and x+5-5=x because the border<BR>\n" );
document.write( "is 2.5 on each side. These are the dimensions of the lawn.<BR>\n" );
document.write( "The area of the lawn is therefore (x)(x-5) or x^2-5x<BR>\n" );
document.write( "We need to find \"x\".\r<BR>\n" );
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document.write( "EQUATION: <BR>\n" );
document.write( "Area of outer rectangle - Area of inner rectangle = 330 m^2<BR>\n" );
document.write( "x(x+5)-(x(x-5))=330<BR>\n" );
document.write( "x^2+5x-x^2+5x=330<BR>\n" );
document.write( "10x=330<BR>\n" );
document.write( "x=33 meters<BR>\n" );
document.write( "Lawn area = x(x-5)= 33(28)= 924 m^2<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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