document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1167840>Question 1167840</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A square and an equilateral triangle have the same perimeter. The area of the square is 13 more than the length of a side of the triangle. What is the length of a side in the triangle (in inches)? What is the area of the square (in square inches)? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #792442 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=792442\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> side of triangle is s<BR>\n" );
document.write( "perimeter is 3s\r<BR>\n" );
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document.write( "so side of square is 0.75 s for perimeter of 3s\r<BR>\n" );
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document.write( "The square's area is 0.5625 s^2 and that is 13 more than area of triangle.<BR>\n" );
document.write( "the area of an equilateral triangle is (1/2)(s)*(s/2)(sqrt(3)=(1/4)s^2(sqrt(3)\r<BR>\n" );
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document.write( "therefore (9/16)s^2-13=sqrt(3)/4 s^2, converting to fractional form<BR>\n" );
document.write( "or (9/16)s^2-13=4 sqrt(3)s^2/16<BR>\n" );
document.write( "and 9s^2-208=4 sqrt(3)s^2<BR>\n" );
document.write( "[9-4 sqrt(3)]s^2=208<BR>\n" );
document.write( "2.072 s^2=208<BR>\n" );
document.write( "s^2=208/(9-4 sqrt(3))<BR>\n" );
document.write( "s=10.02 inches, side of the triangle; side of square is 7.51 inches\r<BR>\n" );
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document.write( "Check this.<BR>\n" );
document.write( "A square is 56.47 in^2 (I didn't round until the last step)\r<BR>\n" );
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document.write( "side of triangle is 10.02 in.<BR>\n" );
document.write( "altitude is 5.01*sqrt(3) in=8.68 inches<BR>\n" );
document.write( "Area of triangle is 43.47 in^2,\r<BR>\n" );
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document.write( "The answer is 10.02 inches for the triangle and 56.47 in^2 for the square\r<BR>\n" );
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document.write( " </SPAN>\n" );
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