1. The problem involves finding the areas of two parallelograms given their heights and base lengths. 2. The formula for the area of a parallelogram is $$\text{Area} = \text{base} \times \text{height}$$. 3. For the blue parallelogram, the base is 13.5 inches and the height is 16.1 inches. 4. Calculate the area of the blue parallelogram: $$\text{Area}_{blue} = 13.5 \times 16.1 = 217.35$$ square inches. 5. For the pink parallelogram, the base is 20 inches and the height is 13 inches. 6. Calculate the area of the pink parallelogram: $$\text{Area}_{pink} = 20 \times 13 = 260$$ square inches. 7. Therefore, the areas are 217.35 square inches for the blue parallelogram and 260 square inches for the pink parallelogram.