To find the area of Alfredo's scale drawing, we first need to determine the dimensions of the scale drawing based on the given information in the table.
The original poster dimensions are:
- Left edge: 36 inches
- Top edge: 24 inches
The scale drawing has the following dimensions given:
- Top edge: 8 inches
We need to find the left edge of the scale drawing (let's call it \(x\) inches) using the scale factor based on the original dimensions.
The original top edge (24 inches) is scaled down to 8 inches. The scale factor can be calculated as follows:
\[ \text{Scale factor} = \frac{\text{Top edge of scale drawing}}{\text{Original top edge}} = \frac{8 \text{ inches}}{24 \text{ inches}} = \frac{1}{3} \]
Now, we apply this scale factor to the left edge of the original poster (36 inches) to find the left edge of the scale drawing:
\[ \text{Left edge of scale drawing} = \text{Original left edge} \times \text{Scale factor} = 36 \text{ inches} \times \frac{1}{3} = 12 \text{ inches} \]
Now we have the dimensions of the scale drawing:
- Left edge: 12 inches
- Top edge: 8 inches
The area \(A\) of the rectangle can be calculated using the formula:
\[ A = \text{length} \times \text{width} = 12 \text{ inches} \times 8 \text{ inches} = 96 \text{ square inches} \]
Therefore, the area of Alfredo’s scale drawing is:
96 square inches.
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