document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=156964>Question 156964</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The perimeter of a rectangular garden is 24 ft. The length is 2 ft more than the width. Find the length and the width of the garden. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #115745 by </B><A HREF=/tutors/aboutme.mpl?userid=midwood_trail><B>midwood_trail(310)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=midwood_trail><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=115745\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The perimeter of a rectangular garden is 24 ft. The length is 2 ft more than the width. Find the length and the width of the garden.\r<BR>\n" );
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document.write( "We need the perimeter of a rectangle formula: P = 2L + 2W\r<BR>\n" );
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document.write( "Let P = 24\r<BR>\n" );
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document.write( "length = x + 2\r<BR>\n" );
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document.write( "width = x\r<BR>\n" );
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document.write( "Plug into above formula and solve for x.\r<BR>\n" );
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document.write( "24 = 2(x + 2) + 2x\r<BR>\n" );
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document.write( "We need to distribute 2 across the quantity (x + 2) to remove the parentheses.\r<BR>\n" );
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document.write( "Let's do that first.\r<BR>\n" );
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document.write( "2 times x = 2x\r<BR>\n" );
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document.write( "2 times 2 = 4\r<BR>\n" );
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document.write( "This is our new equation:\r<BR>\n" );
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document.write( "24 = 2x + 4 + 2x\r<BR>\n" );
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document.write( "Combining like terms on the right side we get:\r<BR>\n" );
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document.write( "24 = 4x + 4\r<BR>\n" );
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document.write( "Subtracting 4 from both sides of the equation, we get this:\r<BR>\n" );
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document.write( "24 - 4 = 4x\r<BR>\n" );
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document.write( "20 = 4x\r<BR>\n" );
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document.write( "To find x, we use the division property of equality that tells us to divide both sides by the number next to x on both sides. So, this means we divide both sides by 4 to find the value of x.\r<BR>\n" );
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document.write( "20/4 = x\r<BR>\n" );
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document.write( "5 = x\r<BR>\n" );
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document.write( "We just found x to be 5.\r<BR>\n" );
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document.write( "However, we need to find the length and width.\r<BR>\n" );
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document.write( "Our length is x + 2\r<BR>\n" );
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document.write( "Replace x with 5 and add 2.\r<BR>\n" );
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document.write( "Length = 5 + 2\r<BR>\n" );
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document.write( "Length = 7 feet\r<BR>\n" );
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document.write( "Our width is W.\r<BR>\n" );
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document.write( "Replace W with 5.\r<BR>\n" );
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document.write( "Our width is 5 feet.\r<BR>\n" );
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document.write( "Done! </SPAN>\n" );
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