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?

Left edge (inches) 36 Scale drawing?
Top edge (inches) 24 Scale drawing 8
Choose the answer from here:
192 sq. in.
1/3 square meters
96 sq. in.
12 sq. in.

1 answer

The area of Alfredo's scale drawing can be calculated by finding the ratio of the length of the top edge in the scale drawing compared to the original poster:

Scale factor = 8/24 = 1/3

Then, the area of the scale drawing can be found by squaring the scale factor and multiplying by the area of the original poster:

(1/3)^2 * 36 * 24 = 96 sq. in.

Therefore, the answer is 96 sq. in.