1. **State the problem:** We have a composite figure made of a parallelogram stacked on top of a square. The parallelogram has a base of 5 cm and a height of 12 cm. The square has a side length of 5 cm. We want to check if Hannah's calculation of the total area is correct. 2. **Recall formulas:** - Area of a parallelogram: $$\text{Area} = \text{base} \times \text{height}$$ - Area of a square: $$\text{Area} = \text{side}^2$$ - For composite figures, the total area is the sum of the areas of the individual shapes. 3. **Calculate the area of the parallelogram:** Using the formula, $$5 \times 12 = 60$$ cm\textsuperscript{2}. 4. **Check Hannah's parallelogram calculation:** Hannah divided by 2 to get 30 cm\textsuperscript{2}, which is incorrect because the division by 2 applies to triangles, not parallelograms. 5. **Calculate the area of the square:** $$5^2 = 25$$ cm\textsuperscript{2}. 6. **Calculate total area:** Add the correct parallelogram area and square area: $$60 + 25 = 85$$ cm\textsuperscript{2}. 7. **Conclusion:** Hannah's answer is incorrect because she mistakenly divided the parallelogram area by 2. The correct total area is 85 cm\textsuperscript{2}. **Final answer:** Hannah incorrectly calculated the area of the parallelogram, so her total area is wrong.