1. The problem states that the area of a rectangle is 24 square meters. 2. The formula for the area of a rectangle is $$\text{Area} = \text{length} \times \text{width}$$. 3. If all sides of the rectangle are doubled, the new length is $$2 \times \text{length}$$ and the new width is $$2 \times \text{width}$$. 4. The area of the new rectangle will be: $$\text{New Area} = (2 \times \text{length}) \times (2 \times \text{width}) = 4 \times (\text{length} \times \text{width})$$. 5. Since the original area is 24, the new area is: $$4 \times 24 = 96$$ square meters. 6. Therefore, the area of the new rectangle is 96 square meters.