document.write( "Question 151539: Can you help me with this problem. The lenght of a rectangular garden is 20 feet longer than the width. The perimeter must be between 80 and 100feet for the fencing that has been purchased. What are the possible widths for the garden.
\n" ); document.write( "I started with p=2L=2W Perimeter
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\n" ); document.write( "I don't where to even start.
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Algebra.Com's Answer #111398 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
Since the \"lenght of a rectangular garden is 20 feet longer than the width\", this means that \"L=W%2B20\"\r
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\n" ); document.write( "\n" ); document.write( "\"P=2W%2B2L\" Start with the perimeter equation.\r
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\n" ); document.write( "\n" ); document.write( "\"P=2W%2B2%28W%2B20%29\" Plug in \"L=W%2B20\"\r
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\n" ); document.write( "\n" ); document.write( "\"P=2W%2B2W%2B40\" Distribute\r
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\n" ); document.write( "\n" ); document.write( "\"P=4W%2B40\" Combine like terms.\r
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\n" ); document.write( "\n" ); document.write( "Since the \"perimeter must be between 80 and 100 feet\", this means that \"80%3C=P%3C=100\"\r
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\n" ); document.write( "\n" ); document.write( "\"80%3C=P%3C=100\" Start with the given compound inequality.\r
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\n" ); document.write( "\n" ); document.write( "\"80%3C=4W%2B40%3C=100\" Plug in \"P=4W%2B40\"\r
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\n" ); document.write( "\n" ); document.write( "\"%2880%29%2F4%3C=w%3C=%28100%29%2F4\" Divide all sides by 4.\r
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\n" ); document.write( "\n" ); document.write( "\"20%3C=w%3C=25\" Reduce.\r
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\n" ); document.write( "\n" ); document.write( "\"80-40%3C=4w%3C=100-40\" Subtract \"40\" from all sides.\r
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\n" ); document.write( "\n" ); document.write( "\"40%3C=4w%3C=100-40\" Combine like terms on the left side.\r
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\n" ); document.write( "\n" ); document.write( "\"40%3C=4w%3C=60\" Combine like terms on the right side.\r
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\n" ); document.write( "\n" ); document.write( "\"%2840%29%2F4%3C=w%3C=%2860%29%2F4\" Divide all sides by 4.\r
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\n" ); document.write( "\n" ); document.write( "\"10%3C=w%3C=15\" Reduce.\r
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\n" ); document.write( "\n" ); document.write( "So our answer is \"10%3C=w%3C=15\" which means that the width must be between 10 and 15 feet.
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