Use the table to answer the 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

192 square inches
192 square inches

96 square inches
96 square inches

12 square inches

1 answer

To find the area of Alfredo's scale drawing, we need to determine the scaled dimensions based on the information provided in the table.

The original dimensions of the poster are:

  • Left edge: 36 inches
  • Top edge: 24 inches

The scale drawing has the top edge of 8 inches. To find the scale factor, we can compare the scaled top edge to the original top edge:

\[ \text{Scale factor} = \frac{\text{Scaled top edge}}{\text{Original top edge}} = \frac{8 \text{ inches}}{24 \text{ inches}} = \frac{1}{3} \]

Now, we can apply this scale factor to find the scaled left edge:

\[ \text{Scaled left edge} = \text{Original left edge} \times \text{Scale factor} = 36 \text{ inches} \times \frac{1}{3} = 12 \text{ inches} \]

With the dimensions of the scale drawing being:

  • Scaled left edge: 12 inches
  • Scaled top edge: 8 inches

We can now calculate the area of the scale drawing:

\[ \text{Area} = \text{Scaled left edge} \times \text{Scaled top edge} = 12 \text{ inches} \times 8 \text{ inches} = 96 \text{ square inches} \]

Therefore, the area of Alfredo’s scale drawing is:

96 square inches.