document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=307054>Question 307054</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Lorraine has a rectangular flower garden which is five feet longer than it is wide. The longer side of the flower garden is along a fence, as shown in the picture. The flower garden is surrounded on three sides by a gravel walkway, which is 2 feet wide. If the area of the gravel walkway is 72 square feet, then what is the area of the garden? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #219718 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=219718\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Lorraine has a rectangular flower garden which is five feet longer than it is wide.<BR>\n" );
document.write( " The longer side of the flower garden is along a fence, as shown in the picture.<BR>\n" );
document.write( " The flower garden is surrounded on three sides by a gravel walkway, which is 2 feet wide. <BR>\n" );
document.write( "If the area of the gravel walkway is 72 square feet, then what is the area of the garden?<BR>\n" );
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document.write( "Let x = the width of the garden<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(x+5) = the length of the garden<BR>\n" );
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document.write( "From the drawing you can see the overall dimensions: which include the walkway will be:<BR>\n" );
document.write( "Overall Length: (x+5)+4 = (x+9)<BR>\n" );
document.write( "Overall width: (x + 2) <BR>\n" );
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document.write( "Overall area - garden area = walkway area (72')<BR>\n" );
document.write( "(x+9)(x+2) - x(x+5) = 72<BR>\n" );
document.write( "FOIL<BR>\n" );
document.write( "x^2 + 2x + 9x + 18 - x^2 - 5x = 72<BR>\n" );
document.write( "Combine like terms<BR>\n" );
document.write( "x^2 - x^2 + 2x + 9x - 5x + 18 = 72<BR>\n" );
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document.write( "6x + 18 = 72<BR>\n" );
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document.write( "6x = 72 - 18<BR>\n" );
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document.write( "6x = 54<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=54%2F6 ALIGN=MIDDLE  ALT=\"54%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = 9 ft<BR>\n" );
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document.write( "Garden area<BR>\n" );
document.write( "(9+5) * 9 = 126 sq/ft<BR>\n" );
document.write( ";<BR>\n" );
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document.write( "Check solution:<BR>\n" );
document.write( "(9+9)*(9+2)= 198 overall area<BR>\n" );
document.write( "9 *(9 + 5) = 126 garden area<BR>\n" );
document.write( "-------------------------------<BR>\n" );
document.write( "difference = 72 walkway area </SPAN>\n" );
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