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
96 square inches
96 square inches
12 square inches
12 square inches
192 square inches
To find the area of Alfredo's scale drawing, we first need to calculate the dimensions of the scale drawing using the scale factor.
The scale factor is the ratio of the length in the scale drawing to the length in the original poster. In this case, the scale factor for the top edge is 8/24 = 1/3.
Now, we apply this scale factor to the left edge of the original poster, which is 36 inches.
36 inches * 1/3 = 12 inches
So, the left edge of Alfredo's scale drawing is 12 inches.
Now, we can calculate the area of Alfredo's scale drawing by multiplying the dimensions of the scale drawing:
12 inches * 8 inches = 96 square inches
Therefore, the area of Alfredo's scale drawing is 96 square inches.