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
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.