document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1014558>Question 1014558</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi outstanding tutors,<BR>\n" );
document.write( "I have a question that is in the quadratic equation solving chapter of my book. It is geometry related, however. Here it is:\r<BR>\n" );
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document.write( "Is it possible for a rectangle with a perimeter of 52 centimeters to have an area of 148.75 square centimeters? Explain. A diagram of the rectangle is given with x representing the with and 26 - x representing the length. <BR>\n" );
document.write( "I know that P=2(l+w) and A=wl. I think somehow a quadratic equation is implemented to solve this. Please help! Thanks!!<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #630846 by </B><A HREF=/tutors/aboutme.mpl?userid=addingup><B>addingup(3677)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=addingup><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=addingup><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=630846\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> No, it's not possible. Of the square/rectangular shapes, the square is the one with the largest area (try it, a rectangle 3 by 5 would have a perimeter of 16 and an area of 3*5=15. Now a square 4*4, same perimeter of 16 has an area also 16).<BR>\n" );
document.write( "On that basis, sqrt148.75= 12.20 is each side of our square and the smallest side we can have in order to get the area. And 12.2*4= 48.8 would be the perimeter. <BR>\n" );
document.write( "Your formula would be:<BR>\n" );
document.write( "2x+2(26-x)= 52 Go ahead, knock yourself out. It can't be solved. </SPAN>\n" );
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