The length Q of a rectangle is decreased by 15% and its width is increased by 40%. Does the area of the rectangle decrease or increase and by what percent?\nOptions:\n(A) Decreases by 19%\n(B) Decreases by 25%\n(C) Increases by 6%\n(D) Increases by 19%\n(E) Increases by 25% Let's think first. Stream of consciousness:
User
Let the length Q of the rectangle be 100x, and width be 100y. Area = 100x * 100y = 10000xy\nNow after the change Length = 85x, and width = 140 y. Area = 11900xy\n% Change = (11900xy - 10000xy)/(10000xy) = 19 % Increase. Hence
So, the answer is (D).
Assistant