Original Poster
Scale Drawing
left edge (in.)
36
?
top edge (in.)
8
24
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)
192 square inches
12 square inches
Osquare meters
96 square inches
To find the area of Alfredo's scale drawing, we need to find the dimensions of the scale drawing first.
Given that the top edge of the original poster is 24 inches and the length ratio of the top edge in the scale drawing is 8 inches, we can set up a proportion to find the length of the top edge in the scale drawing:
24 inches / 8 inches = x inches / 8 inches
Solving for x, we get:
x = 24 inches / 8 inches * 8 inches
x = 24 inches
Therefore, the length of the top edge in Alfredo's scale drawing is 24 inches.
Given that the original poster is in the shape of a rectangle with dimensions 36 inches (left edge) and 8 inches (top edge), the scale drawing will also have a left edge of 36 inches.
Now, we can calculate the area of Alfredo's scale drawing:
Area = length * width
Area = 24 inches * 36 inches
Area = 864 square inches
Therefore, the area of Alfredo's scale drawing is 864 square inches.
Therefore, the correct answer is:
192 square inches