A local food organization puts out a healthy food poster. The poster is in the shape of a rectangle, and it's dimensions are given in the table. Original poster: left edge= 36 inches and top edge= 24 inches. Scale drawing: left edge= ? and top edge= 8 inches. 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. 1/3 square meters
B. 192 square inches
C. 96 square inches
D. 12 square inches

1 answer

C. 96 square inches

To find the area of Alfredo's scale drawing, we need to first calculate the scale factor for the top edge.

Original poster top edge: 24 inches
Scale drawing top edge: 8 inches

Scale factor = 8/24 = 1/3

Next, we need to find the new dimensions of the scale drawing. Since the scale factor is 1/3, we need to multiply the dimensions of the original poster by 1/3.

New left edge = 36 inches * 1/3 = 12 inches

Now, we can calculate the area of the scale drawing by multiplying the new dimensions.

Area of scale drawing = 12 inches * 8 inches = 96 square inches

Therefore, the area of Alfredo's scale drawing is 96 square inches.