document.write( "Question 795458: A small rectangular vineyard is to have an overall dimension of 100 feet by 200 feet. Surrounding the vineyard there will be a grassy border of uniform width. The total area of the vineyard and the grassy area is 21525 square feet.\r
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\n" ); document.write( "\n" ); document.write( "If the total area is 21525 square feet, determine the width of the grassy area. The width of the grassy area is ________ feet.
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Algebra.Com's Answer #481012 by josgarithmetic(39618)\"\" \"About 
You can put this solution on YOUR website!
Area of just the vineyard, \"100%2A200=20000\" \"ft%5E2\".\r
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\n" ); document.write( "\n" ); document.write( "Area of the grassy border AND vineyard combined, \"%282x%2B100%29%282x%2B200%29=21525\"\r
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\n" ); document.write( "\n" ); document.write( "Algebra steps:
\n" ); document.write( "\"4x%5E2%2B400x%2B200x%2B20000=21525\"
\n" ); document.write( "\"4x%5E2%2B600x=1525\"
\n" ); document.write( "\"highlight%284x%5E2%2B600x-1525=0%29\"\r
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\n" ); document.write( "\n" ); document.write( "Use the general solution to quadratic formula to solve for x, unless you can find a way to factor the quadratic expression.\r
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\n" ); document.write( "\n" ); document.write( "\"x=%28-600%2Bsqrt%28600%5E2-4%2A4%28-1525%29%29%29%2F%282%2A4%29\"
\n" ); document.write( "\"x=%28-600%2Bsqrt%28360000%2B16%2A1525%29%29%2F8\"
\n" ); document.write( "\"x=%28-600%2Bsqrt%28384400%29%29%2F8\"
\n" ); document.write( "\"x=%28-600%2B620%29%2F8\"
\n" ); document.write( "\"x=20%2F8=10%2F4=5%2F2\"
\n" ); document.write( "\"highlight%28x=2%261%2F2%29\" feet.
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