document.write( "Question 755389: A homeowner is installing a swimming pool. He wants the length 4 feet longer than the width then he wants to install a concrete walkway around it. The walkway needs to be 3 ferry wide with a total area of 300 sq feet. What should the dimensions of the pool be \n" ); document.write( "
Algebra.Com's Answer #459641 by ankor@dixie-net.com(22740)\"\" \"About 
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A homeowner is installing a swimming pool.
\n" ); document.write( " He wants the length 4 feet longer than the width.
\n" ); document.write( " Then he wants to install a concrete walkway around it.
\n" ); document.write( " The walkway needs to be 3 feet wide, with a total area of 300 sq feet.
\n" ); document.write( " What should the dimensions of the pool be?
\n" ); document.write( ":
\n" ); document.write( "Let x = the width of the pool
\n" ); document.write( "then
\n" ); document.write( "(x+4) = the length of the pool
\n" ); document.write( ":
\n" ); document.write( "The walkway to be 3' wide therefore 6' will added to the pool dimensions.
\n" ); document.write( "the overall dimensions will be
\n" ); document.write( "W: (x+6)
\n" ); document.write( "L: (x+4+6) = (x+10)
\n" ); document.write( ":
\n" ); document.write( "Total area - pool area = walkway area
\n" ); document.write( "[(x+10)*(x+6)] - [x(x+4)] = 300
\n" ); document.write( "FOIL
\n" ); document.write( "(x^2 + 16x + 60) - (x^2+4x) = 300
\n" ); document.write( "remove brackets combine like terms
\n" ); document.write( "x^2 - x^2 + 16x - 4x + 60 = 300
\n" ); document.write( "12x = 300 - 60
\n" ); document.write( "12x = 240
\n" ); document.write( "x = 240/12
\n" ); document.write( "x = 20 ft is the width of the pool
\n" ); document.write( "then
\n" ); document.write( "20 + 4 = 24 ft is the length of the pool
\n" ); document.write( ":
\n" ); document.write( ";
\n" ); document.write( "You can see if this checks out, do the math:
\n" ); document.write( "Total area - pool area = walkway area
\n" ); document.write( "[(20+10)*(20+6)] - [24*20] = 300\r
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