document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=824403>Question 824403</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The Art Club wants to paint a rectangle shaped mural to celebrate the winners of the track and field meet. They designed a checkerboard for the mural where they will write the winners' names. The rectangle measures 432 inches in length and  360 inches in width. What is the side length of the largest square they can use to fill the checkerboard pattern completely without overlap or gaps? Please make it as simple as possible. 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 #496459 by </B><A HREF=/tutors/aboutme.mpl?userid=TimothyLamb><B>TimothyLamb(4379)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=TimothyLamb><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=TimothyLamb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=496459\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> ---<BR>\n" );
document.write( "x = side length of maximum-sized checkerboard square<BR>\n" );
document.write( "y = number of squares along the 360 inch dimension<BR>\n" );
document.write( "z = number of squares along the 432 inch dimension<BR>\n" );
document.write( "---<BR>\n" );
document.write( "xy = 360<BR>\n" );
document.write( "xz = 432<BR>\n" );
document.write( "---<BR>\n" );
document.write( "x = 360/y<BR>\n" );
document.write( "z360/y = 432<BR>\n" );
document.write( "z/y = 432/360<BR>\n" );
document.write( "z/y = 216/180<BR>\n" );
document.write( "z/y = 108/90<BR>\n" );
document.write( "z/y = 54/45<BR>\n" );
document.write( "z/y = 6/5<BR>\n" );
document.write( "---<BR>\n" );
document.write( "answer:<BR>\n" );
document.write( "y = number of squares along the 360 inch dimension = 5<BR>\n" );
document.write( "z = number of squares along the 432 inch dimension = 6<BR>\n" );
document.write( "x = 360/y<BR>\n" );
document.write( "x = 360/5<BR>\n" );
document.write( "x = 72 inches<BR>\n" );
document.write( "and<BR>\n" );
document.write( "x = 432/z<BR>\n" );
document.write( "x = 432/6<BR>\n" );
document.write( "x = 72 inches<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve and graph linear equations:<BR>\n" );
document.write( "https://sooeet.com/math/linear-equation-solver.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve quadratic equations, quadratic formula:<BR>\n" );
document.write( "https://sooeet.com/math/quadratic-formula-solver.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve systems of linear equations up to 6-equations 6-variables:<BR>\n" );
document.write( "https://sooeet.com/math/system-of-linear-equations-solver.php </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );