To solve the problem, we first need to find the scale ratio based on the dimensions given in the table.
The original poster has dimensions:
- Left edge: 36 inches
- Top edge: 24 inches
The scale drawing has the following dimension:
- Top edge: 8 inches
Next, we can find the scale factor. The scale factor is calculated by dividing the dimensions of the scale drawing by the corresponding dimensions of the original poster.
For the top edge: \[ \text{Scale Factor} = \frac{\text{Scale Drawing Top Edge}}{\text{Original Top Edge}} = \frac{8 \text{ in.}}{24 \text{ in.}} = \frac{1}{3} \]
Now, to find the corresponding dimension for the left edge in the scale drawing, we apply the same scale factor to the original left edge dimension: \[ \text{Scale Drawing Left Edge} = \text{Original Left Edge} \times \text{Scale Factor} = 36 \text{ in.} \times \frac{1}{3} = 12 \text{ in.} \]
Now we have the dimensions of Alfredo's scale drawing:
- Left edge: 12 inches
- Top edge: 8 inches
To find the area of the scale drawing, we multiply these dimensions: \[ \text{Area} = \text{Left Edge} \times \text{Top Edge} = 12 \text{ in.} \times 8 \text{ in.} = 96 \text{ square inches} \]
Thus, the area of Alfredo's scale drawing is 96 square inches.
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