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: Option 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