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 192 square inches 192 square inches 96 square inches 96 square inches 12 square inches 12 square inches 13 square meters
To find the area of the scale drawing, you need to determine the scale factor between the original poster and Alfredo's scale drawing.
Given:
Original poster dimensions: 16 inches x 24 inches
Scale drawing length of top edge: 4 inches
Scale factor = 4 inches / 16 inches = 1/4
Now, you can calculate the area of Alfredo's scale drawing by finding the area of the original poster and multiplying by the scale factor squared:
Area of original poster = 16 inches x 24 inches = 384 square inches
Area of scale drawing = 384 square inches * (1/4)^2 = 384 square inches * 1/16 = 24 square inches
Therefore, the area of Alfredo's scale drawing is 24 square inches.
Get the correct option from the answers
The correct option from the provided answers is:
96 square inches
Therefore, the area of Alfredo's scale drawing is 96 square inches.