If the length of a square is increased by 20% while while its width is decreased by 20% to form a rectangle, what is the ratio of the area of the rectangle to the area of the square?
A. 6 : 5 B. 25 : 24 C. 5 : 6 D. 24 : 25
Correct Answer: D
Explanation
Length and width of a square is 100% Length increased by 20% and Width decreased by 20% to form a rectangle Length of rectangle = 120% to form a rectangle Length of rectangle = 120% and Width of rectangle = 80% Area of rectangle = L x W Area of square = W Ratio of the area of the rectangle to the area of the square A = \(\frac{\text{Area of rectangle}}{\text{Area of square}}\) \(\frac{120 \times 30}{100 \times 100}\) = \(\frac{96}{100}\) = 24 : 25