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?
a.192 square inches
b.96 square inches
c.1/3 square meters
d.12 square inches
To find the area of Alfredo's scale drawing, we need to first determine the dimensions of the scale drawing.
We know that the original poster's left edge is 36 inches and the scale drawing's left edge is unknown. Similarly, the top edge of the original poster is 24 inches and the top edge of the scale drawing is 8 inches.
Since the scale drawing is proportional to the original poster, we can set up a ratio:
36/24 = ?/8
? = (36/24) * 8
? = 12 inches
So the scale drawing's left edge is 12 inches.
Now we can calculate the area of the scale drawing:
Original poster area = 36 * 24 = 864 sq inches
Scale drawing area = 12 * 8 = 96 sq inches
Therefore, the correct answer is b. 96 square inches.