To find the area of Alfredo’s scale drawing, we first need to determine the proportions of the original poster dimensions to the scaled dimensions.
From the table provided:
- The original top edge is 24 inches, and in the scale drawing it is 8 inches.
- The scale factor can be calculated as follows:
\[ \text{Scale factor} = \frac{\text{scaled length}}{\text{original length}} = \frac{8 \text{ in}}{24 \text{ in}} = \frac{1}{3} \]
Now, we need to find the scaled length of the left edge. The original left edge is 36 inches. Applying the same scale factor:
\[ \text{Scaled left edge} = 36 \text{ in} \times \frac{1}{3} = 12 \text{ in} \]
Now we have the dimensions of Alfredo’s scale drawing:
- Scaled top edge = 8 inches
- Scaled left edge = 12 inches
Next, we can calculate the area of the scale drawing:
\[ \text{Area} = \text{width} \times \text{height} = 8 \text{ in} \times 12 \text{ in} = 96 \text{ square inches} \]
Therefore, the area of Alfredo’s scale drawing is 96 square inches.
The correct response is: 96 square inches
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