document.write( "Question 1073175: You just had a pool installed that has dimensions 10 feet by 24 feet by 4 feet. You want to install a cement patio all the way around the pool that extends the same distance around every side of the pool. A cement truck holds enough cement to cover 810 square feet at a 4-inch depth. If you don't want to have to pay for a second truck, what is the widest you can make the patio around your new pool? \n" ); document.write( "
Algebra.Com's Answer #688037 by ankor@dixie-net.com(22740)\"\" \"About 
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You just had a pool installed that has dimensions 10 feet by 24 feet by 4 feet. You want to install a cement patio all the way around the pool that extends the same distance around every side of the pool.
\n" ); document.write( " A cement truck holds enough cement to cover 810 square feet at a 4-inch depth. If you don't want to have to pay for a second truck, what is the widest you can make the patio around your new pool?
\n" ); document.write( ":
\n" ); document.write( "810 sq/ft will be the area of the cement walk-way all around the pool
\n" ); document.write( "let x = the width of the walkway
\n" ); document.write( "then
\n" ); document.write( "the overall dimensions including the pool and the walkway will be
\n" ); document.write( "(2x+10) by (2x+24)
\n" ); document.write( "Overall area - pool area = walkway area
\n" ); document.write( "(2x+10)(2x+24) - (10*24) = 810
\n" ); document.write( "FOIL
\n" ); document.write( "4x^2 + 48x + 20x + 240 - 240 - 810 = 0
\n" ); document.write( "a quadratic equation
\n" ); document.write( "4x^2 + 68x - 810 = 0
\n" ); document.write( "simplify, divide by 2
\n" ); document.write( "2x^2 + 34x - 405 = 0
\n" ); document.write( "use the quadratic formula. a=2; b=34; c=-405
\n" ); document.write( "I got a positive solution of
\n" ); document.write( " x = 8.0756 ft or about 8' 1\" is the width of the walk way \n" ); document.write( "
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