document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1168781>Question 1168781</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Mr mobile legends want to take a table for his friends which has an area of 10 square meters. the length of the table has to 3 meters longer than the width. find the width and length of the table<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 #793405 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=793405\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the area of the table top is 10 square meters.<BR>\n" );
document.write( "the length of the table is 3 meters longer than the width.\r<BR>\n" );
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document.write( "let x = the length<BR>\n" );
document.write( "let y = the width.<BR>\n" );
document.write( "the area of the table top is equal to x * y\r<BR>\n" );
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document.write( "since the length of the table top is 3 meters longer than the width, you get:<BR>\n" );
document.write( "x = 3y\r<BR>\n" );
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document.write( "area = x * y becomes area = 3y * y, after you replace x with 3y.\r<BR>\n" );
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document.write( "simplify to get:<BR>\n" );
document.write( "area = 3y^2\r<BR>\n" );
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document.write( "since the area is 10 square meters,  you get:<BR>\n" );
document.write( "10 = 3y^2\r<BR>\n" );
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document.write( "divide both sides of this equation by 3 to get:<BR>\n" );
document.write( "10/3 = y^2\r<BR>\n" );
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document.write( "solve for y to get:<BR>\n" );
document.write( "y = plus or minus sqrt(10/3)\r<BR>\n" );
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document.write( "since y can't be negative, y must be equal to sqrt(10/3)<BR>\n" );
document.write( "since x = 3y, then x must be equal to 3 * sqrt(10/3)\r<BR>\n" );
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document.write( "the area of the table is equal to x * y.<BR>\n" );
document.write( "x * y = 3 * sqrt(10/3) * sqrt(10/3)<BR>\n" );
document.write( "since sqrt(10/3) * sqrt(10/3) = 10/3, the area of the table becomes:<BR>\n" );
document.write( "area = 3 * 10/3<BR>\n" );
document.write( "simplify to get:<BR>\n" );
document.write( "area = 10\r<BR>\n" );
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document.write( "this confirms the solution is correct.<BR>\n" );
document.write( "the solution is:\r<BR>\n" );
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document.write( "length = 3 * sqrt(10/3)<BR>\n" );
document.write( "width = sqrt(10/3)\r<BR>\n" );
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document.write( "in decimal format, .....\r<BR>\n" );
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document.write( "length = 5.477225575 meters.<BR>\n" );
document.write( "width = 1.825741858 meters.\r<BR>\n" );
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