Shawna reduced the size of a rectangle to a height of 2 in. What is the new width if it was originally 24 in wide and 12 in tall?

To determine the new width of the rectangle after reducing its size, we'll assume that the rectangle is scaled proportionally. This means that both the width and height are reduced by the same scale factor to maintain the rectangle's original shape. **Original Dimensions:** - **Width:** 24 inches - **Height:** 12 inches **New Height:** 2 inches **Step 1: Calculate the Scale Factor** The scale factor is determined by the ratio of the new height to the original height. \[ \text{Scale Factor} = \frac{\text{New Height}}{\text{Original Height}} = \frac{2\, \text{in}}{12\, \text{in}} = \frac{1}{6} \] **Step 2: Apply the Scale Factor to the Width** \[ \text{New Width} = \text{Original Width} \times \text{Scale Factor} = 24\, \text{in} \times \frac{1}{6} = 4\, \text{in} \] **Conclusion:** After reducing the size proportionally, the new width of the rectangle is **4 inches**.