2. If the lengith of the side of a square is doubted what is the ratio of the area of the originat square to the area of the now squares Aiso wate you answers as 6 common fraction, a decimat fraction and a percentage

Let's break down the problem step by step. 1. **Known Conditions:** - Let the length of the side of the original square be \( s \). - The area of the original square \( A_1 \) is given by the formula: \[ A_1 = s^2 \] - If the length of the side is doubled, the new length becomes \( 2s \). - The area of the new square \( A_2 \) is given by: \[ A_2 = (2s)^2 = 4s^2 \] 2. **Finding the Ratio of Areas:** - The ratio of the area of the original square to the area of the new square is: \[ \text{Ratio} = \frac{A_1}{A_2} = \frac{s^2}{4s^2} = \frac{1}{4} \] 3. **Expressing the Ratio in Different Forms:** - As a common fraction: \( \frac{1}{4} \) - As a decimal fraction: \( 0.25 \) - As a percentage: \( 25\% \) Thus, the ratio of the area of the original square to the area of the new square is: - Common fraction: \( \frac{1}{4} \) - Decimal fraction: \( 0.25 \) - Percentage: \( 25\% \)