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?
Based on the given information, the length of the top edge on Alfredo's scale drawing is 8 inches.
To find the area of the scale drawing, we need to determine the corresponding length of the left edge on the scale drawing.
We can set up a proportion using the dimensions of the original poster and the scale drawing:
(original top edge) / (original left edge) = (scale top edge) / (scale left edge)
Plugging in the given values:
24 / 36 = 8 / (scale left edge)
To solve for the scale left edge, we can cross multiply and solve for this variable:
24 * (scale left edge) = 36 * 8
(scale left edge) = (36 * 8) / 24
(scale left edge) = 12
So, the length of the left edge on Alfredo's scale drawing is 12 inches.
Now, we can calculate the area of the scale drawing by multiplying the length of the top edge and the length of the left edge:
Area = (scale top edge) * (scale left edge)
= 8 * 12
= 96 square inches
Therefore, the area of Alfredo's scale drawing is 96 square inches.