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?
(1 point)
Responses
12 square inches
1/3 square meters
192 square inches
96 square inches
To find the area of Alfredo's scale drawing, we need to find the dimensions of the drawing that correspond to the original poster. We know that the length of the top edge in the scale drawing is 8 inches.
To determine the scale factor, we can divide the length of the top edge in the scale drawing by the corresponding length in the original poster. This gives us 8/24, which simplifies to 1/3.
To find the width of the scale drawing, we can multiply the left edge of the original poster by the scale factor. 36 * 1/3 = 12 inches.
Now that we have the dimensions of the scale drawing (8 inches by 12 inches), we can find the area by multiplying the length and width: 8 * 12 = 96 square inches.
Therefore, the area of Alfredo's scale drawing is 96 square inches.