document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1187561>Question 1187561</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can someone please help me with this problem? I’ve been struggling with it for a while now and my Geometry textbook doesn’t explain it very well. <BR>\n" );
document.write( "Here is the problem: <BR>\n" );
document.write( "Brett is buying a rug for his living room. His living room is a rectangle with a length that is twice as long as its width. Brett decides that the rug will also be a rectangle, but it will be only one half the length of the room and one half as wide. What will be the ratio of the rug’s area to the living room’s area? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #818560 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=818560\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "If the rug is half the length of the room and also half the width, then the rug and the room are similar figures (scale models of each other) with a scale ratio 1:2.<br><BR>\n" );
document.write( "In any similar figures, if the ratio of linear measurements (e.g., length and width) is a:b, then the ratio of area measurements is a^2:b^2.<br><BR>\n" );
document.write( "In your problem, since the scale factor is 1:2, the ratio of area measurements is 1:4.<br><BR>\n" );
document.write( "ANSWER: The ratio of the rug's area to the area of the room is 1:4<br><BR>\n" );
document.write( "It will help to understand this concept if you put some example numbers to the problem.<br><BR>\n" );
document.write( "room 10*16; area 160; rug 5*8; area 40; 40 is 1/4 of 160<br><BR>\n" );
document.write( "room 12*20; area 240; rug 6*10; area 60; 60 is 1/4 of 240<br><BR>\n" );
document.write( "etc., etc....<br><BR>\n" );
document.write( " </SPAN>\n" );
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