To find the area of Alfredo's scale drawing, we first need to determine the dimensions of the scale drawing.
From the information given:
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The original dimensions of the poster are:
- Left edge (length) = 36 inches
- Top edge (height) = 24 inches
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The scale drawing has the top edge (height) = 8 inches.
Now, we need to find the scale factor based on the original top edge and the scale drawing top edge.
The scale factor can be calculated as follows:
\[ \text{Scale factor} = \frac{\text{Top edge of scale drawing}}{\text{Top edge of original}} = \frac{8}{24} = \frac{1}{3} \]
Now, we apply this scale factor to the left edge (length) of the original poster to find the corresponding length in the scale drawing:
\[ \text{Left edge of scale drawing} = \text{Left edge of original} \times \text{Scale factor} = 36 \times \frac{1}{3} = 12 \text{ inches} \]
Now, we have both dimensions of the scale drawing:
- Left edge = 12 inches
- Top edge = 8 inches
To find the area of the scale drawing, we multiply the width by the height:
\[ \text{Area} = \text{Left edge} \times \text{Top edge} = 12 \times 8 = 96 \text{ square inches} \]
Therefore, the area of Alfredo’s scale drawing is:
96 square inches