document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=883902>Question 883902</A>: <I><SPAN STYLE=\"word-break: break-all;\"> This is the word problem that has gotten the best of me.  Any help will be greatly appreciated.\r<BR>\n" );
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document.write( "Ahmed has half of a treasure map, which indicates that the treasure is buried in the desert 2x+6 paces from Castle Rock.  Vanessa has the other half of the map. Her half indicates that to find the treasure, one must get to Castle Rock, walk x paces to the north, and then walk 2x+4 paces to the east.  If they share their information, then they can find x and save a lot of digging.  What is x? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #533841 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=533841\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Ahmed has half of a treasure map, which indicates that the treasure is buried in the desert 2x+6 paces from Castle Rock. Vanessa has the other half of the map. Her half indicates that to find the treasure, one must get to Castle Rock, walk x paces to the north, and then walk 2x+4 paces to the east. If they share their information, then they can find x and save a lot of digging. What is x?<BR>\n" );
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document.write( "Draw the picture::<BR>\n" );
document.write( "You have a circle with radius 2x+6<BR>\n" );
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document.write( "Draw rectangle with side north = x and side right = 2x+4<BR>\n" );
document.write( "Find the hypotenuse:<BR>\n" );
document.write( "h = sqrt[x^2 + 4x^2+16x + 16]<BR>\n" );
document.write( "h = sqrt[5x^2 + 16x + 16]<BR>\n" );
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document.write( "Equate the radius and the hypotenuse and solve for \"x\":<BR>\n" );
document.write( "2x+6 = sqrt(5x^2 + 16x + 16)<BR>\n" );
document.write( "Square both sides to get: <BR>\n" );
document.write( "4x^2 + 24x + 36 = 5x^2 + 16x + 16<BR>\n" );
document.write( "x^2 - 8x - 20 = 0<BR>\n" );
document.write( "Solve:<BR>\n" );
document.write( "x = [8 +- sqrt(16-4*-20)]/2<BR>\n" );
document.write( "x = [8 +- sqrt(96)]/2<BR>\n" );
document.write( "x = [8 +- 4sqrt(6)]/2<BR>\n" );
document.write( "Positive solution:<BR>\n" );
document.write( "x = [4 + 2sqrt(6)]<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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