document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=615833>Question 615833</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The width of a rectangle is <BR>\n" );
document.write( "(3x &#8722; 1)<BR>\n" );
document.write( " in. The length of the rectangle is twice the width. Find the area of the rectangle in terms of the variable x. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #387322 by </B><A HREF=/tutors/aboutme.mpl?userid=dragonwalker><B>dragonwalker(73)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=dragonwalker><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=387322\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "Please note that I have used * to represent a multiply sign.\r<BR>\n" );
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document.write( "As the length of the rectangle is twice the width then you need to multiply the width of the rectangle by 2.\r<BR>\n" );
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document.write( "As follows:\r<BR>\n" );
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document.write( "2 * (3x - 1) = 2(3x - 1)\r<BR>\n" );
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document.write( "you multiply each part of the formula by two as follows:\r<BR>\n" );
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document.write( "(2*3x - 2*1) = (6x - 2)\r<BR>\n" );
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document.write( "So the length is (6x - 2)\r<BR>\n" );
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document.write( "To find an area of a rectangle you then need to multiply the width by the length:\r<BR>\n" );
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document.write( "Area = (3x - 1)*(6x - 2) or more correctly written:\r<BR>\n" );
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document.write( "(3x - 1)(6x - 2)\r<BR>\n" );
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document.write( "To solve this you have to multiply each number in the first bracket by each number in the second unit so:\r<BR>\n" );
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document.write( "i.e. let us say we have (a + b)(c + d):\r<BR>\n" );
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document.write( "we have to do the following:\r<BR>\n" );
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document.write( "a*c a*d then b*c and b*d\r<BR>\n" );
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document.write( "So for our formula:\r<BR>\n" );
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document.write( "(3x - 1)(6x - 2) = 3x*6x + 3x*-2 + -1*6x + -1*-2<BR>\n" );
document.write( "                 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18x%5E2+%2B+-6x+%2B+-6x+%2B+2 ALIGN=MIDDLE  ALT=\"18x%5E2+%2B+-6x+%2B+-6x+%2B+2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "as + - together makes a - :\r<BR>\n" );
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document.write( "                 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18x%5E2+-+6x+-+6x+%2B+2 ALIGN=MIDDLE  ALT=\"18x%5E2+-+6x+-+6x+%2B+2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "                 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18x%5E2+-+12x+%2B+2 ALIGN=MIDDLE  ALT=\"18x%5E2+-+12x+%2B+2\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( " </SPAN>\n" );
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