document.write( "Question 1025267: The length of a rectangle exceeds its width by 6 units. If each dimension were increased by 3 units,the area would be increased by 57 square units. Find the dimensions of the rectangle. \n" ); document.write( "
Algebra.Com's Answer #640598 by fractalier(6550)![]() ![]() You can put this solution on YOUR website! Area of a rectangle is A = length times width...A=LW... \n" ); document.write( "Here L = W + 6...substituting we get \n" ); document.write( "A=(W+6)W \n" ); document.write( "Now, with the increase \n" ); document.write( "(W+9)(W+3)=(W+6)W + 57 \n" ); document.write( "Solve this... \n" ); document.write( "W^2 + 12W + 27 = W^2 + 6W + 57 \n" ); document.write( "6W = 30 \n" ); document.write( "W = 5 and then \n" ); document.write( "L = 11 \n" ); document.write( " |