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)
\n" );
document.write( "
\n" );
document.write( "the width of the border is ? feet? \n" );
document.write( "
Algebra.Com's Answer #738997 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! 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\" = \n" ); document.write( " \n" ); document.write( ": \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 \n" ); document.write( ": \n" ); document.write( "Find the area of the pool \n" ); document.write( " \n" ); document.write( "Find the total area which includes the border \n" ); document.write( "113.097 + 108 = 221.097 sq/ft \n" ); document.write( ": \n" ); document.write( "find the width of the border \n" ); document.write( " \n" ); document.write( "FOIL, divide by pi \n" ); document.write( "w^2 + 12w + 36 = \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 \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check this. find the area using the overall radius: 8.3891 ft \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " |