document.write( "Question 201130: A rectangular swimming pool is 2 m longer than it is wide. If the width is decreased by 3 m, and the length is increased by 4 m, the area remains the same as the original area, Find the original dimensions of the pool. \n" ); document.write( "
Algebra.Com's Answer #151352 by nerdybill(7384)![]() ![]() You can put this solution on YOUR website! A rectangular swimming pool is 2 m longer than it is wide. If the width is decreased by 3 m, and the length is increased by 4 m, the area remains the same as the original area, Find the original dimensions of the pool. \n" ); document.write( ". \n" ); document.write( "Let w = width of pool \n" ); document.write( "then \n" ); document.write( "w+2 = length of pool \n" ); document.write( ". \n" ); document.write( "(w-3)(w+2 +4) = w(w+2) \n" ); document.write( "(w-3)(w+6) = w(w+2) \n" ); document.write( "w^2+6w-3w-19 = w^2+2w \n" ); document.write( "w^2+3w-19 = w^2+2w \n" ); document.write( "3w-19 = 2w \n" ); document.write( "w-19 = 0 \n" ); document.write( "w = 19 m (width of pool) \n" ); document.write( ". \n" ); document.write( "Length: \n" ); document.write( "w+2 = 19+2 = 21 m (length of pool) \n" ); document.write( ". \n" ); document.write( "Dimensions: 19m x 21m\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |