To determine the area of Alfredo's scale drawing, we first need to find the scale factor by comparing the lengths of the top edges of the original poster and the scale drawing.
Given that the original poster has a length of 36 inches and the scale drawing has a length of 9 inches, the scale factor can be calculated as:
Scale factor = length of scale drawing / length of original poster
Scale factor = 9 inches / 36 inches
Scale factor = 0.25
Now, we need to calculate the area of the scale drawing. Since area is a 2-dimensional measurement, it scales according to the square of the scale factor. So, the area of Alfredo's scale drawing is:
Area = (scale factor)^2 * area of original poster
Area = (0.25)^2 * (24 inches * 36 inches)
Area = 0.0625 * 864 square inches
Area = 54 square inches
Therefore, the area of Alfredo's scale drawing of the poster is 54 square inches.
A local food organization puts out a healthy food poster. The poster is the shape of a rectangle and its demonstrations 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 the table what is the area of Alfredo scale drawing
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