Question

page 15 of 16
Length and Area in Scale Drawings Quick Check
5 of 55 of 5 Items








Question
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

12 square inches
12 square inches

192 square inches
192 square inches

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

96 square inches
96 square inches
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Answer 1

To find the area of Alfredo's scale drawing of the poster, we first need to determine the dimensions of the scale drawing based on the ratio provided.

From the table:
- Original top edge: 24 inches
- Scale drawing top edge: 8 inches

To find the scale factor, we can compare the lengths:
\[
\text{Scale Factor} = \frac{\text{Scale Drawing Top Edge}}{\text{Original Top Edge}} = \frac{8 \text{ in.}}{24 \text{ in.}} = \frac{1}{3}
\]

Now, we can find the corresponding dimension of the left edge in the scale drawing. The original left edge is 36 inches, so applying the scale factor:
\[
\text{Scale Drawing Left Edge} = 36 \text{ in.} \times \frac{1}{3} = 12 \text{ in.}
\]

Next, we find the area of the scale drawing using the dimensions we have:
\[
\text{Area} = \text{Length} \times \text{Width} = \text{Left Edge} \times \text{Top Edge} = 12 \text{ in.} \times 8 \text{ in.} = 96 \text{ square inches.}
\]

Therefore, the area of Alfredo’s scale drawing is **96 square inches**.

So the correct response is:
**96 square inches**.