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
96 square inches
96 square inches
12 square inches
12 square inches
13 square meters
Start Fraction 1 over 3 end fraction square meters
192 square inches
192 square inches
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To find the area of Alfredo's scale drawing, we need to calculate the area of the original poster and then use the scale to find the corresponding area in the scale drawing.
The original poster has dimensions 36 inches by 24 inches, so the area is 36 * 24 = 864 square inches.
The scale factor is found by taking the length of the top edge in the original poster (24 inches) divided by the length of the top edge in the scale drawing (8 inches), which is 24 / 8 = 3.
To find the area of Alfredo's scale drawing, we need to divide the original area by the square of the scale factor: 864 / (3^2) = 864 / 9 = 96 square inches.
Therefore, the area of Alfredo's scale drawing is 96 square inches.