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)![]() ![]() You can put this solution on YOUR website! 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 \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |