document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1048321>Question 1048321</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The lower square base of the Washington Monument has a side 21 ft. more than the upper square base.  Area of the lower base is 1869 sq. ft. more than the upper base.  Determine dimensions of each square.\r<BR>\n" );
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document.write( "Area = length * width\r<BR>\n" );
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document.write( "Let x = lower base<BR>\n" );
document.write( "Let y = upper base\r<BR>\n" );
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document.write( "Lower:\r<BR>\n" );
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document.write( "Side: x + 21    Side:  x + 21        Area:  (x + 21) (x + 21)\r<BR>\n" );
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document.write( "Upper:\r<BR>\n" );
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document.write( "Side: y     Side:  y            Area:  y^2<BR>\n" );
document.write( "y^2 = (x + 21) (x + 21) + 1869\r<BR>\n" );
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document.write( "y^2 = x^2 + 21x + 21x + 441 + 1869\r<BR>\n" );
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document.write( "y^2 = x^2 + 42x + 2310\r<BR>\n" );
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document.write( "Unsure from here.  Thanks.\r<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 #663936 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=663936\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "You are complicating the issue by introducing the second variable and then losing track of what these variables represent.\r<BR>\n" );
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document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x\"> represent the measure of a side of the upper square base.  Then <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x^2\"> is the area of the upper square base.  Also, the measure of a side of the lower square base must be <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x\ +\ 21\"> and the area of the lower square base is <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large (x\ +\ 21)^2\">.  Finally, we know that the lower square base is 1869 square feet larger than the upper square base.  Consequently, if you add 1869 to an expression for the area of the upper base, you should have an expression equal to the expression for the area of the lower base, to wit:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ (x\ +\ 21)^2\ =\ x^2\ +\ 1869\">\r<BR>\n" );
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document.write( "Solve for <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x\"> then calculate <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x\ +\ 21\">\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi}\ +\ 1\ =\ 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \ \\r\"> </SPAN>\n" );
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