document.write( "Question 1122812: A circular pool measures 12 feet across. one cubic yd of concrete is to be used to create a circular border of uniform width around the pool. if the border is to have a depth of 3 inches, how wide will the border be?
\n" ); document.write( "(1 cubic yard= 27 cubic feet)
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\n" ); document.write( "the width of the border is ? feet?
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Algebra.Com's Answer #738997 by ankor@dixie-net.com(22740)\"\" \"About 
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A circular pool measures 12 feet across. one cubic yd of concrete is to be used to create a circular border of uniform width around the pool.
\n" ); document.write( " if the border is to have a depth of 3 inches, how wide will the border be?
\n" ); document.write( "(1 cubic yard= 27 cubic feet)
\n" ); document.write( ":
\n" ); document.write( "Find the area of the border, divide the volume by the depth; 3\" = \"1%2F4\"ft
\n" ); document.write( "\"27%2F%281%2F4%29\" = 108 sq/ft the area of border
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\n" ); document.write( "let w = the width of the circular border
\n" ); document.write( "Radius of the pool is half of 12 = 6 ft, therefore
\n" ); document.write( "(w+6) = the radius of the circular area which includes the border
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\n" ); document.write( "Find the area of the pool
\n" ); document.write( "\"pi%2A6%5E2\" = 113.097 sq/ft
\n" ); document.write( "Find the total area which includes the border
\n" ); document.write( "113.097 + 108 = 221.097 sq/ft
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\n" ); document.write( "find the width of the border
\n" ); document.write( "\"pi%2A%28w%2B6%29%5E2\" = 221.097
\n" ); document.write( "FOIL, divide by pi
\n" ); document.write( "w^2 + 12w + 36 = \"221.097%2Fpi\"
\n" ); document.write( "w^2 + 12w + 36 = 70.377
\n" ); document.write( "w^2 + 12w + 36 - 70.377 = 0
\n" ); document.write( "w^2 + 12w - 34.377 = 0
\n" ); document.write( "use quadratic formula, a=1; b=12; c=-34.377
\n" ); document.write( "the positive solution
\n" ); document.write( "w = 2.3891 ft is the width of the border (2 ft 4\"2%2F3\"in)
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\n" ); document.write( "Check this. find the area using the overall radius: 8.3891 ft
\n" ); document.write( "\"pi%2A8.3891%5E2\" = 221.095 sq/ft
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