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

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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The area of Alfredo's scale drawing is 96 square inches. This can be calculated by multiplying the length of the top edge in the scale drawing (8 inches) by the length of the left edge in the scale drawing (which can be found by creating a proportion using the scale factor). Since the original poster has a length of 36 inches, and the scale drawing has a top edge of 8 inches, the scale factor is 8/24 = 1/3. Therefore, the left edge in the scale drawing is 36 * 1/3 = 12 inches. The area of the scale drawing is 8 * 12 = 96 square inches.