document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=926725>Question 926725</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The area of a rectangle is four times the area of a square. If the rectangle is 36 inches long, and the width of the rectangle is the same as the length of a side of the square, find the dimensions of both the rectangle and the square.<BR>\n" );
document.write( "Find  in inches:<BR>\n" );
document.write( "The length of rectangle<BR>\n" );
document.write( "The width if rectangle<BR>\n" );
document.write( "Side length of square<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 #562456 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=562456\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the area of the rectangle is equal to L*W<BR>\n" );
document.write( "the are of the square is equal to S^2<BR>\n" );
document.write( "L = length of rectangle<BR>\n" );
document.write( "W = width of rectangle<BR>\n" );
document.write( "S = side of square\r<BR>\n" );
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document.write( "you are given that L = 36<BR>\n" );
document.write( "you are given that W = S\r<BR>\n" );
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document.write( "you are given that the area of the rectangle is equal to 4 times the ares of the square.\r<BR>\n" );
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document.write( "this means that:\r<BR>\n" );
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document.write( "L*W = 4*S^2\r<BR>\n" );
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document.write( "since W = S, replace W in this equation with S to get:\r<BR>\n" );
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document.write( "L*S = 4*S^2\r<BR>\n" );
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document.write( "divide both sides of this equation by S to get:\r<BR>\n" );
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document.write( "L = 4*S\r<BR>\n" );
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document.write( "since L = 36, this equation becomes:\r<BR>\n" );
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document.write( "36 = 4*S\r<BR>\n" );
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document.write( "solve for S in this equation to get:\r<BR>\n" );
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document.write( "S = 9\r<BR>\n" );
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document.write( "since S = W, this means that W = 9 as well.\r<BR>\n" );
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document.write( "area of the rectangle = L*W = 36 * 9 = 324 square inches.\r<BR>\n" );
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document.write( "area of the square is equal to 9^2 = 81 square inches.\r<BR>\n" );
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document.write( "multiply 81 * 4 and you get 324 square inches which is the area of the rectangle.\r<BR>\n" );
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document.write( "the area of the rectangle is equal to 4 times the area of the square as it should be.\r<BR>\n" );
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document.write( "your solution is:\r<BR>\n" );
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document.write( "length of the rectangle is 36 inches.<BR>\n" );
document.write( "width of the rectangle is 9 inches.<BR>\n" );
document.write( "length of the side of the square is 9 inches.<BR>\n" );
document.write( "area of the rectangle is 324 square inches.<BR>\n" );
document.write( "area of the square is 81 square inches.\r<BR>\n" );
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document.write( "the length of the rectangle was given and not really solved for.<BR>\n" );
document.write( "the rest of the measurements were solved for. </SPAN>\n" );
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