document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1193300>Question 1193300</A>: <I><SPAN STYLE=\"word-break: break-all;\">  the rectangles area is fours square units. the height plus twice the width is 6 units. step by step please </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #825309 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=825309\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the area is 4 square units.<BR>\n" );
document.write( "the height plus twice the width is 6 units.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "H = height<BR>\n" );
document.write( "W = width\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "area is H * W = 4<BR>\n" );
document.write( "H + 2W = 6\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "in the second equation, solve for H to get:<BR>\n" );
document.write( "H = 6 - 2W\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "in the first equation, replace H with (6 - 2W) to get:<BR>\n" );
document.write( "H * W = 4 becomes (6 - 2W) * W = 4<BR>\n" );
document.write( "simplify to get:<BR>\n" );
document.write( "6 * W - 2W * W = 4<BR>\n" );
document.write( "simplify further to get:<BR>\n" );
document.write( "6W - 2W^2 = 4<BR>\n" );
document.write( "add 2W^2 to both sides of the equation and subtract 6W from both sides of the equation to get:<BR>\n" );
document.write( "0 = 2W^2 - 6W + 4<BR>\n" );
document.write( "divide both sides of the equation by 2 to get:<BR>\n" );
document.write( "0 = W^2 - 3W + 2<BR>\n" );
document.write( "factor the quadratic equation and flip sides to get:<BR>\n" );
document.write( "(W - 1) * (W - 2) = 0<BR>\n" );
document.write( "solve for W to get:<BR>\n" );
document.write( "W = 1 or W = 2<BR>\n" );
document.write( "since H = 6 - 2W, then:<BR>\n" );
document.write( "when W = 1, H = 4<BR>\n" );
document.write( "when W = 2, H = 2\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "your solution is:<BR>\n" );
document.write( "either W = 1 and H = 4, or W = 2 and H = 2\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "to confirm, replace H and W in the original equations with these values to get:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "when W = 1 and H = 4, then:<BR>\n" );
document.write( "area is H * W = 4 becomes 4 * 1 = 4 which is true.<BR>\n" );
document.write( "H + 2W = 6 becomes 4 + 2 = 6 which is also true.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "when W = 2 and H = 2, then:<BR>\n" );
document.write( "area is H * W = 4 becomes 2 * 2 = 4 which is true.<BR>\n" );
document.write( "H + 2W = 6 becomes 2 + 4 = 6 which is also true.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "let me know if you have any questions, or need further clarification.<BR>\n" );
document.write( "theo\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );