document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1001916>Question 1001916</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The length of a rectangle is 5 inches less than 4 times the width. The perimeter is 100 inches. Find the length and the width.\r<BR>\n" );
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document.write( "The length is <BR>\n" );
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document.write( "I would just like to know how to write this equation out and then I can take it from there just need an exaMPLE, pLEASE </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #618975 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=618975\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> perimeter = 2 * length + 2 * width<BR>\n" );
document.write( "100 = 2 * length + 2 * width\r<BR>\n" );
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document.write( "the length of the rectangle is 5 inches (or centimeters0 less than 4 times the width.<BR>\n" );
document.write( "you get length = 4 * width - 5\r<BR>\n" );
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document.write( "4 * width has to be greater than 5, otherwise length will be negative or 0.\r<BR>\n" );
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document.write( "when width = 6, length = 4*6-5 = 24-5 = 19<BR>\n" );
document.write( "when width = 10, length = 4*10-5 = 40-5 = 35<BR>\n" );
document.write( "etc.\r<BR>\n" );
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document.write( "now that you have solved for the length in terms of the width, you can replace length in the equation with 4 * width - 5 to get:\r<BR>\n" );
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document.write( "100 = 2 * (4 * width - 5) + 2 * width\r<BR>\n" );
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document.write( "simplify that to get:\r<BR>\n" );
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document.write( "100 = 8 * width - 10 + 2 * width.\r<BR>\n" );
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document.write( "combine like terms to get:\r<BR>\n" );
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document.write( "100 = 10 * width - 10\r<BR>\n" );
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document.write( "you can solve for width and, once you know that, you can solve for length.\r<BR>\n" );
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document.write( "you can use variable names to represent the length and the width.\r<BR>\n" );
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document.write( "when you do that, you will get something like the following.\r<BR>\n" );
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document.write( "perimeter = 2 * length + 2 * width<BR>\n" );
document.write( "let x = length and y = width.<BR>\n" );
document.write( "equation becomes perimeter = 2x + 2y<BR>\n" );
document.write( "since perimeter = 100, equation becomes:<BR>\n" );
document.write( "100 = 2x + 2y\r<BR>\n" );
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document.write( "you are given the length is 5 less than 4 times the width.<BR>\n" );
document.write( "you get x = 4y - 5\r<BR>\n" );
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document.write( "in the equation of 100 = 2x + 2y, replace x with 4y - 5 to get:<BR>\n" );
document.write( "100 = 2 * (4y-5) + 2y = 8y - 10 + 2y = 10y - 10\r<BR>\n" );
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document.write( "your equation is 100 = 10y - 10<BR>\n" );
document.write( "y is the width\r<BR>\n" );
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document.write( "after you solve for y you can then use that value of y to solve for x.\r<BR>\n" );
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document.write( "same answer except now you are using x and y instead of length and width.<BR>\n" );
document.write( "they both represent the same thing.\r<BR>\n" );
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document.write( "if you do this correctly, your answer should be:\r<BR>\n" );
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document.write( "length = 39<BR>\n" );
document.write( "width = 11\r<BR>\n" );
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document.write( "length is 5 less than 4 times width when width = 11 becomes length = 5 less than 44 which becomes length = 39\r<BR>\n" );
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document.write( "100 = 2 * length + 2 * width becomes:<BR>\n" );
document.write( "100 = 2*39 + 2*11 which becomes:<BR>\n" );
document.write( "100 = 78 + 22 which becomes:<BR>\n" );
document.write( "100 = 100\r<BR>\n" );
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document.write( "this confirms the solution is correct.\r<BR>\n" );
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