document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=254096>Question 254096</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A pentagon is formed by a rectangle and an equilateral triangle (external to it)with the side (of the triangle) in common with a dimension of the rectangle. Knowing that one dimension of the rectangle measures 4.2 cm and that the diagonal is 7 cm, determine the perimeter and the area of the pentagon.\r<BR>\n" );
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document.write( "I just can't figure out the figure. I tried using a square, but it doesn't seem to work right... And it can't be a rectangle because then all the sides of the pentagon would not be egual. I would really appreciate all the help I can get! Thank you! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #186491 by </B><A HREF=/tutors/aboutme.mpl?userid=edjones><B>edjones(8007)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=edjones><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=edjones><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=186491\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> This is not a regular pentagon. The sides are not equal.<BR>\n" );
document.write( "For the sides of the rectangle:<BR>\n" );
document.write( "a^+b^2=c^2<BR>\n" );
document.write( "a^2+4.2^2=7^2<BR>\n" );
document.write( "a^2+17.64=49<BR>\n" );
document.write( "a^2=31.36<BR>\n" );
document.write( "a=5.6<BR>\n" );
document.write( "So the rectangle's sides are 5.6 and 4.2<BR>\n" );
document.write( "We can make the sides of the triangle either number; I will use 4.2; you can use 5.6 if you wish.<BR>\n" );
document.write( "A=s^2sqrt(3)/4 for an equilateral triangle.<BR>\n" );
document.write( "=17.64sqrt(3)/4<BR>\n" );
document.write( "=4.41sqrt(3)<BR>\n" );
document.write( "5.6*4.2*4.41sqrt(3)=179.7 sq cm Area of pentagon <BR>\n" );
document.write( "5.6*2+4.2*3=23.8 cm Perimeter of pentagon.<BR>\n" );
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document.write( "Ed </SPAN>\n" );
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