If each side of the square is increased by 50%, what will be the ratio between the new area and the original area of the square?

Question: If each side of the square is increased by 50%, what will be the ratio between the new area and the original area of the square?Solution:Let,The side of original square is x∴ The area of original square is x2The side of new square is x + 50% of x = x + x/2 = 3x/2∴ The area of new square is (9x2)/4∴ The ratio between the new area and the original area of the square = (9x2)/4 : x2 = 9/4 : 1= 9 : 4