document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=72970>Question 72970</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am trying to figure out a problem that my teacher gave my class. \r<BR>\n" );
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document.write( "A rectangle has a perimeter of 4 inches. If the sides of the rectangle are whole numbers of inches, how many different combinations of measures are possible? \r<BR>\n" );
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document.write( "So far I have figure 1 solution, 1+1+1+1  Still, I think this is a square not  a rectangle. Any insight would be helpful.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #52190 by </B><A HREF=/tutors/aboutme.mpl?userid=bucky><B>bucky(2189)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=bucky><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=52190\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Since the perimeter is 4 inches and the sides have to be whole numbers, if one of the sides<BR>\n" );
document.write( "were 2, then another side would also have to be 2 and there wouldn't be any more length left<BR>\n" );
document.write( "for the other two sides.<BR>\n" );
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document.write( "You have hit upon the only solution that matches the criteria that you were given ... whole<BR>\n" );
document.write( "numbers for sides and not more than 4 units in length.<BR>\n" );
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document.write( "But you didn't recognize the point that the teacher was trying to make. The teacher was<BR>\n" );
document.write( "trying to show you that your answer was really a rectangle, but it was a special case of a<BR>\n" );
document.write( "rectangle ... a square is a rectangle that happens to have 4 equal sides.<BR>\n" );
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document.write( "Another way to look at it is to remember \"All squares are rectangles, but not all rectangles<BR>\n" );
document.write( "are squares.\" Some rectangles have lengths that are greater than their widths.<BR>\n" );
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document.write( "Sort of similar to saying \"All spaniels are dogs, but not all dogs are spaniels.\"<BR>\n" );
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document.write( "You did a really good job of coming up with the only set of numbers that would work.  Shows <BR>\n" );
document.write( "you were thinking about it in the right way. Some day you may get to be really good at<BR>\n" );
document.write( "math if you continue to work at it with the same thought you showed toward this problem.<BR>\n" );
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