document.write( "Question 1052828: The public swimming pool, which is a rectangle measuring 25 meters by 33 meters, needs a new deck. The deck of uniform width that will surround the pool will be made of concrete. There is only enough money in the budget to cover 2880 square meters with concrete. How
\n" );
document.write( "wide should the path be? \n" );
document.write( "
Algebra.Com's Answer #668143 by jorel555(1290)![]() ![]() ![]() You can put this solution on YOUR website! Let w be the width of the new deck. Then the length of the area enclosed by the new deck would be 33+2w, and the width would be 25+2w. So: \n" ); document.write( "(33+2w)(25+2w)-(25x33)=2880 \n" ); document.write( "825+116w+4w²-825=2880 \n" ); document.write( "4w²+116w-2880=0 \n" ); document.write( "w²+29w-720=0 \n" ); document.write( "(w+45)(w-16)=0 \n" ); document.write( "w=16 or -45 \n" ); document.write( "Throwing out the negative result, we get the width of the new deck to be 16 meters. ☺☺☺☺ \n" ); document.write( " |