A local food organization put 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 links on the top edge given the table. What is the area of Alfredo skill drawing

One 92 in.²
96 in.²
1/3 inches
12 in.²

1 answer

To find the area of Alfredo's scale drawing, we need to use the scale factor given by the dimensions of the original poster and the scale drawing.

Original poster dimensions:
Length = 24 inches
Width = 36 inches
Area = Length x Width = 24 x 36 = 864 in²

Scale drawing dimensions:
Length = 6 inches
Width = 9 inches
Area = Length x Width = 6 x 9 = 54 in²

Scale factor = original area / scale drawing area = 864 / 54 = 16

Now we can find the area of Alfredo's scale drawing by calculating the area of the scale drawing using the scale factor:
Area = 54 in² x 16 = 864 in²

Therefore, the area of Alfredo's scale drawing is 864 in².