document.write( "Question 389660: A rectangular flower garden is 8ft longer thant it is wide. It is surrounded by a brick walk 2ft wide. The area is 176ft^2. Find the dimensions.\r
\n" ); document.write( "\n" ); document.write( "I know that the equation is set = to 176 and that width = x and length = x+8 but I am missing what to do with the brick walk 2ft wide. Having problems setting problem up to solve. Would appreciate help!!!
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Algebra.Com's Answer #276177 by jim_thompson5910(35256)\"\" \"About 
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Let x = width of the garden. So because the \"garden is 8ft longer thant it is wide\", we know that the length of the garden is \"x%2B8\"\r
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\n" ); document.write( "\n" ); document.write( "If you draw the picture, you should get\r
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\n" ); document.write( "\n" ); document.write( "Note: we're adding 2 ft to each dimension twice because there are two red sides per dimension.\r
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\n" ); document.write( "\n" ); document.write( "Edit: I'm assuming that the area of the brick ONLY is 176 square feet.\r
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\n" ); document.write( "\n" ); document.write( "So we can see that the dimensions of the entire rectangle are x+4 by x+12. So the area of the entire thing is \"%28x%2B4%29%28x%2B12%29\"\r
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\n" ); document.write( "\n" ); document.write( "Because the area of the garden only is \"x%28x%2B8%29\", this means that the area of the brick ONLY is \r
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\n" ); document.write( "\n" ); document.write( "\"%28x%2B4%29%28x%2B12%29-x%28x%2B8%29=176\"\r
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\n" ); document.write( "\n" ); document.write( "Note: I'm subtracting the area of the garden from the area of the entire enclosure.\r
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\n" ); document.write( "\n" ); document.write( "\"%28x%2B4%29%28x%2B12%29-x%28x%2B8%29=176\" Start with the given equation.\r
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\n" ); document.write( "\n" ); document.write( "\"x%5E2%2B16x%2B48-x%28x%2B8%29=176\" FOIL\r
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\n" ); document.write( "\n" ); document.write( "\"x%5E2%2B16x%2B48-x%5E2-8x=176\" Distribute.\r
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\n" ); document.write( "\n" ); document.write( "\"8x%2B48=176\" Combine like terms.\r
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\n" ); document.write( "\n" ); document.write( "\"8x=176-48\" Subtract \"48\" from both sides.\r
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\n" ); document.write( "\n" ); document.write( "\"8x=128\" Combine like terms on the right side.\r
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\n" ); document.write( "\n" ); document.write( "\"x=%28128%29%2F%288%29\" Divide both sides by \"8\" to isolate \"x\".\r
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\n" ); document.write( "\n" ); document.write( "\"x=16\" Reduce.\r
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\n" ); document.write( "\n" ); document.write( "Answer:\r
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\n" ); document.write( "\n" ); document.write( "So the solution is \"x=16\"\r
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\n" ); document.write( "\n" ); document.write( "This means that the width of the garden is 16 feet.\r
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\n" ); document.write( "Now plug this into \"x%2B8\" to get \"x%2B8=16%2B8=24\"\r
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\n" ); document.write( "\n" ); document.write( "So the length of the garden is 24 feet. \r
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\n" ); document.write( "\n" ); document.write( "So the garden alone is 16 x 24 ft\r
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\n" ); document.write( "\n" ); document.write( "If you need more help, email me at jim_thompson5910@hotmail.com\r
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\n" ); document.write( "\n" ); document.write( "Also, feel free to check out my tutoring website\r
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\n" ); document.write( "\n" ); document.write( "Jim
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