document.write( "Question 678007: If a swimming pool has a perimeter of 18 meters and covers an area of 18 square meters what are its dimensions? \n" ); document.write( "
Algebra.Com's Answer #421162 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! If a swimming pool has a perimeter of 18 meters and covers an area of 18 square meters what are its dimensions? \n" ); document.write( ": \n" ); document.write( "Perimeter \n" ); document.write( "2L + 2W = 18 \n" ); document.write( "simplify, divide by 2 \n" ); document.write( "L + W = 9 \n" ); document.write( "L = (9-W) \n" ); document.write( ": \n" ); document.write( "Area \n" ); document.write( "L * W = 18 \n" ); document.write( "replace L with (9-W) \n" ); document.write( "W(9-W) = 18 \n" ); document.write( "A quadratic equation \n" ); document.write( "-W^2 + 9W - 18 = 0 \n" ); document.write( "Easier to factor if coefficient of W^2 is positive, mult eq by -1 \n" ); document.write( "W^2 - 9W + 18 = 0 \n" ); document.write( "Factors to \n" ); document.write( "(W-3)(W-6) = 0 \n" ); document.write( "Two solutions \n" ); document.write( "W = 3, then L = 6 \n" ); document.write( "W = 6, then L = 3 \n" ); document.write( " |