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
96 square inches
96 square inches
13 square meters
Start Fraction 1 over 3 end fraction square meters
192 square inches
The original poster has a length of 36 inches and a width of 24 inches, so the area of the original poster is 36 * 24 = 864 square inches.
Alfredo's scale drawing has a length of 8 inches. Since the scale drawing is proportional to the original poster, the width of Alfredo's scale drawing can be found by setting up a proportion:
36 : 24 = 8 : x
Solving for x, we get x = 8 * 24 / 36 = 192 / 3 = 64 inches.
Therefore, the area of Alfredo's scale drawing is 8 * 64 = 512 square inches.