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?
(1 point)
Responses
13 square meters
Start Fraction 1 over 3 end fraction square meters
12 square inches
12 square inches
192 square inches
192 square inches
96 square inches
96 square inches
To find the area of Alfredo's scale drawing, we need to calculate the scale factor first.
Scale factor = length of top edge in scale drawing / length of top edge in original poster = 8 inches / 24 inches = 1/3
Now, we can find the area of the scale drawing by applying the scale factor to the original area:
Area of original poster = 36 inches * 24 inches = 864 square inches
Area of scale drawing = 1/3 * 1/3 * 864 square inches = 1/9 * 864 square inches = 96 square inches
Therefore, the area of Alfredo's scale drawing is 96 square inches.