document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=263346>Question 263346</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am stumped on this question and I am not sure how to figure out the perimeter. If I knew that number I could solve the problem. Thanks for your help.\r<BR>\n" );
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document.write( "Consider a square and a regular hexagon (a six sided figure with sides of equal length). One side of the square is 7 feet longer than a side of the hexagon, and the two figures have the same perimeter. What are the lengths of the sides of each figure?\r<BR>\n" );
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document.write( "I set it up as x= hexagon<BR>\n" );
document.write( "                       x+7= square\r<BR>\n" );
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document.write( "x+x+7=?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #194074 by </B><A HREF=/tutors/aboutme.mpl?userid=richwmiller><B>richwmiller(17219)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richwmiller><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=richwmiller><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=194074\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The trick is to find the sides then find the perimeter not the perimeter first.<BR>\n" );
document.write( "We know that <BR>\n" );
document.write( "the side nof the square is 7 more than the side of the hexagon<BR>\n" );
document.write( "s=h+7 and <BR>\n" );
document.write( "and we know that the perimeter of the square is 4s<BR>\n" );
document.write( "and the hexagon is 6h<BR>\n" );
document.write( "and the the two perimeters are equal<BR>\n" );
document.write( "4s=6h<BR>\n" );
document.write( "s=h+7<BR>\n" );
document.write( "substitute h+7 for s<BR>\n" );
document.write( "4(h+7)=6h<BR>\n" );
document.write( "4h+28=6h<BR>\n" );
document.write( "28=2h<BR>\n" );
document.write( "14=h<BR>\n" );
document.write( "s=h+7<BR>\n" );
document.write( "s=21<BR>\n" );
document.write( "h=14 s=21<BR>\n" );
document.write( "check<BR>\n" );
document.write( "6*14=4*21<BR>\n" );
document.write( "84=84<BR>\n" );
document.write( "both perimeters equal 84<BR>\n" );
document.write( "ok<BR>\n" );
document.write( "This problem should be in the word problem geometry category </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );