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?
hint*
12 square inches
1/3 square meters
Start Fraction 1 over 3 end fraction square meters
192 square inches
96 square inches
The scale of the drawing is 1/3 because the length of the top edge of the original poster is 24 inches, while in the scale drawing it is 8 inches. This means the scale is 8/24 = 1/3.
To find the area of Alfredo's scale drawing, we need to multiply the dimensions of the original poster by the scale factor (1/3).
Original area = 36 inches x 24 inches = 864 square inches
Scale factor = 1/3
Scaled area = 864 square inches x (1/3)^2 = 864 x 1/9 = 96 square inches
Therefore, the area of Alfredo's scale drawing is 96 square inches.