document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=79323>Question 79323</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A square room has a square rug in it.  The area of the room not covered by the rug is 51 sq feet.  The sum of the lenght of a side of the rug and the lenght of a side of the room is 17 feet.  Find the dimensions of the room.\r<BR>\n" );
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document.write( "I know Area=LenghtxWidth and Perimeter is 2Lenght + 2 Width, but I can't figure out this one.  Please help. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #56928 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=56928\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A square room has a square rug in it. The area of the room not covered by the rug is 51 sq feet. The sum of the lenght of a side of the rug and the lenght of a side of the room is 17 feet. Find the dimensions of the room. <BR>\n" );
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document.write( "Draw the picture of the square room with the square rug in it.<BR>\n" );
document.write( "Hint: put the square in the corner of the square room.<BR>\n" );
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document.write( "Let a side of the square rug be x ft.<BR>\n" );
document.write( "Let a side of the square room be y ft.<BR>\n" );
document.write( "EQUATION:<BR>\n" );
document.write( "x+y=17 ft<BR>\n" );
document.write( "y=17-x<BR>\n" );
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document.write( "The area of the square room is y^2=(17-x)^2<BR>\n" );
document.write( "The area of the square rug is x^2<BR>\n" );
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document.write( "EQUATION:<BR>\n" );
document.write( "Area of room - Area of rug = 51 sq ft.<BR>\n" );
document.write( "(17-x)^2-x^2=51<BR>\n" );
document.write( "17^2-34x+x^2-x^2=51<BR>\n" );
document.write( "17^2-51=34x<BR>\n" );
document.write( "x=238/34<BR>\n" );
document.write( "x=7 ft (the rug is 7'x7'<BR>\n" );
document.write( "17-x=17-7=10 (the room is 10'x10')<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. <BR>\n" );
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