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?
- 6 : 5
- 25 : 24
- 5 : 6
-
24 : 25
The correct answer is: 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