document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1012989>Question 1012989</A>: <I><SPAN STYLE=\"word-break: break-all;\"> P,Q,R, and S are midpoints of  AB, BC, CD and AD respectively of square ABCD. P,Q,R, and S are joined by segments to form a rectangle. If the length of each side of the square ABCD is 3cm, what is the area of the rectangle PQRS? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #629148 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=629148\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> to find the area of the rectangle <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=PQRS ALIGN=MIDDLE  ALT=\"PQRS\"   DISABLED_style= \"max-width:90%; height:auto;\" > we need the length of the side\r<BR>\n" );
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document.write( "P,Q,R, and S are midpoints of  AB, BC, CD and AD respectively of square ABCD.<BR>\n" );
document.write( "So, that the quadrilateral PQRS is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=square ALIGN=MIDDLE  ALT=\"square\"   DISABLED_style= \"max-width:90%; height:auto;\" > (special case of rectangle) inscribed in the square ABCD \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28+600%2C+600%2C+-5%2C+5%2C+-5%2C5%2C%0D%0A%0D%0Acircle%280%2C0%2C.1%29%2Ccircle%280%2C3%2C.1%29%2Ccircle%283%2C0%2C.1%29%2Ccircle%283%2C3%2C.1%29%2C%0D%0Acircle%281.5%2C0%2C.1%29%2Ccircle%280%2C1.5%2C.1%29%2Ccircle%283%2C1.5%2C.1%29%2Ccircle%281.5%2C3%2C.1%29%2C%0D%0Aline%283%2C0%2C3%2C3%29%2Cline%280%2C3%2C3%2C3%29%2C%0D%0Aline%280%2C1.5%2C1.5%2C3%29%2Cline%281.5%2C0%2C3%2C1.5%29%2C%0D%0Aline%281.5%2C3%2C3%2C1.5%29%2Cline%280%2C1.5%2C1.5%2C0%29%2C%0D%0A+graph%28+600%2C+600%2C+-5%2C+5%2C+-5%2C+5%2C+0%29%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "If the length of each side of the square ABCD is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3cm ALIGN=MIDDLE  ALT=\"3cm\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then the length of  the side  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=PQRS ALIGN=MIDDLE  ALT=\"PQRS\"   DISABLED_style= \"max-width:90%; height:auto;\" > is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%283cm%2F2%29%5E2%2B%283cm%2F2%29%5E2%29=sqrt%289cm%5E2%2F4%2B9cm%5E2%2F4%29=sqrt%2818cm%5E2%2F4%29=sqrt%284.5cm%5E2%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "the area of the rectangle <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=PQRS ALIGN=MIDDLE  ALT=\"PQRS\"   DISABLED_style= \"max-width:90%; height:auto;\" > is:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=%28sqrt%284.5cm%5E2%29%29%5E2=4.5cm ALIGN=MIDDLE  ALT=\"A=%28sqrt%284.5cm%5E2%29%29%5E2=4.5cm\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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