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 96 square inches 96 square inches 192 square inches 192 square inches 12 square inches 12 square inches 1/3 square meters
To find the area of Alfredo's scale drawing, we first need to determine the scale factor. To do this, we can divide the length of the top edge of the original poster by the length of the top edge in the scale drawing:
36 / 24 = 1.5
This means that the scale factor is 1.5. To find the area of the scale drawing, we need to square the scale factor and then multiply it by the area of the original poster:
1.5^2 * 24 * 8 = 2.25 * 192 = 432 square inches
Therefore, the area of Alfredo's scale drawing is 432 square inches.
wrong
Apologies for the error in the previous response. Let's correct it:
The scale factor is the ratio of the length in the scale drawing to the length in the actual poster.
Scale factor = length in scale drawing / length in actual poster
Scale factor = 24 / 36
Scale factor = 2/3
The area of the scale drawing will be scale factor squared times the area of the original poster.
Area of scale drawing = (2/3)^2 * (24 * 8)
Area of scale drawing = (4/9) * 192
Area of scale drawing = 768 / 9
Area of scale drawing = 85.33 square inches
Therefore, the area of Alfredo's scale drawing is approximately 85.33 square inches.