document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=132854>Question 132854</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A rectangle has an area of 36 square meters. Its length is 2square-root of 3 meters. In exact form, what is the permieter of the rectangle?<BR>\n" );
document.write( "A right triangle has a 24-cm perimeter, and its hypotenuse is twice as long as its shoter leg. To the nearest tenth of a cm, fnd the lengths of all three sides of this triangle. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #97251 by </B><A HREF=/tutors/aboutme.mpl?userid=nycsharkman><B>nycsharkman(136)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nycsharkman><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=97251\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You have two questions here.\r<BR>\n" );
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document.write( "Question(1).<BR>\n" );
document.write( "for the long side of the rectangle is x,<BR>\n" );
document.write( "the short side of the rectangle is y,<BR>\n" );
document.write( "x*y=36m^2<BR>\n" );
document.write( "x=2sqrt3 y=36/2sqrt3=6sqrt3<BR>\n" );
document.write( "perimeter=2(x+y)=2(2sqrt3+6sqrt3)=16sq...\r<BR>\n" );
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document.write( "Question (2)<BR>\n" );
document.write( "short leg of triangle=a<BR>\n" );
document.write( "long leg of triangle=b<BR>\n" );
document.write( "hypotenus=h=2a<BR>\n" );
document.write( "h^2=a^2+b^2<BR>\n" );
document.write( "b^2=3a^2<BR>\n" );
document.write( "b=asqrt3<BR>\n" );
document.write( "h+a+b=3a+b=24<BR>\n" );
document.write( "3a+asqrt3=24, a(3+sqrt3)=24, a=24/(3+sqrt3)<BR>\n" );
document.write( "if we multiply the denominator with (3-3sqrt3)<BR>\n" );
document.write( "then a=(12-4sqrt3)<BR>\n" );
document.write( "b=sqrt3*a=sqrt3*(12-4sqrt3)=12sqrt3-12<BR>\n" );
document.write( "h=2a=24-8sqrt3<BR>\n" );
document.write( " </SPAN>\n" );
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