A rectangle is formed from a square by increasing the latter's length by 50% while reducing its width by 50%. The ratio of the area of the rectangle to that of the square is ?

The ratio of the area of the rectangle to the area of the square is 0.75.

Step-by-step explanation:

The areas of the square and the rectangle are represented by following formulas:

(1)

 (2)

Where is the side length of the square.

The ratio of the area of the rectangle to the area of the square is:

The ratio of the area of the rectangle to the area of the square is 0.75.