Use the table to answer the question.

Question

Original Poster Scale Drawing
left edge (in.) 36 ?
top edge (in.) 24 8
A local food organization puts out a healthy foods poster. The poster is in the shape of a rectangle, and its dimensions are given in the table. Alfredo wants to make a smaller version of the poster to hang up in the community center. He makes a scale drawing of the poster with the length of the top edge given in the table. What is the area of Alfredo’s scale drawing?

(1 point)
Responses

13
square meters
Start Fraction 1 over 3 end fraction square meters

12 square inches
12 square inches

96 square inches
96 square inches

192 square inches
192 square inches
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Answer 1

To find the area of Alfredo's scale drawing, we need to first determine the scale factor based on the dimensions provided in the table. Let's identify the dimensions:

• The original size (left edge): 36 inches
• The original size (top edge): 24 inches
• The scale drawing size (top edge): 8 inches

Now, we calculate the scale factor for the top edge. The scale factor can be calculated as follows:

\[ \text{Scale Factor} = \frac{\text{Scale Drawing Top Edge}}{\text{Original Poster Top Edge}} = \frac{8}{24} = \frac{1}{3} \]

Next, we can find the scale drawing size for the left edge using the scale factor:

\[ \text{Scale Drawing Left Edge} = \text{Original Poster Left Edge} \times \text{Scale Factor} = 36 \times \frac{1}{3} = 12 \text{ inches} \]

Now we have the dimensions of Alfredo's scale drawing:

• Left Edge: 12 inches
• Top Edge: 8 inches

Now we can calculate the area of the scale drawing:

\[ \text{Area} = \text{Width} \times \text{Height} = 12 \text{ inches} \times 8 \text{ inches} = 96 \text{ square inches} \]

So, the area of Alfredo's scale drawing is:

96 square inches.