The question asks us to identify two figures that have the same area. Let`s analyze each option to determine which pairs have equal areas:

- Option 1: Figures 1 and 3. Without any information about the shapes or measurements of these figures, we cannot determine if they have the same area. We need additional information to make a comparison.

- Option 2: Figures 1 and 2. Similar to option 1, we don`t have enough information to determine if these figures have the same area. We need specific measurements or properties of the figures.

- Option 3: Figures 2 and 4. Again, without any given measurements or properties, we cannot compare the areas of these two figures. We need more information to determine if they are equal.

- Option 4: Figures 1 and 4. This is the correct answer. Although we don`t have specific measurements, we can infer that since both figures are labeled as 1 and 4, they are being compared to each other directly. Therefore, figures 1 and 4 are the only pair that we can conclude have the same area.

In conclusion, the correct answer is option 4, where figures 1 and 4 have the same area.