To determine the area of Alfredo's scale drawing, we need to find the missing dimension (the left edge) using the information provided about the original poster and its scale drawing.
The original poster has a left edge of 36 inches and a top edge of 24 inches. The height of the scale drawing for the top edge is given as 8 inches.
To find the scale factor, we can calculate it based on the top edge: \[ \text{Scale Factor} = \frac{\text{Top Edge of Scale Drawing}}{\text{Top Edge of Original Poster}} = \frac{8 \text{ in}}{24 \text{ in}} = \frac{1}{3} \]
Next, we apply the same scale factor to find the left edge of the scale drawing: \[ \text{Left Edge of Scale Drawing} = \text{Left Edge of Original Poster} \times \text{Scale Factor} = 36 \text{ in} \times \frac{1}{3} = 12 \text{ in} \]
Now, we can calculate the area of the scale drawing: \[ \text{Area} = \text{Length} \times \text{Width} = \text{Left Edge} \times \text{Top Edge} = 12 \text{ in} \times 8 \text{ in} = 96 \text{ square inches} \]
Thus, the area of Alfredo's scale drawing is 96 square inches.