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?
(1 point)
Responses
12 square inches
12 square inches
13 square meters
Start Fraction 1 over 3 end fraction square meters
96 square inches
96 square inches
192 square inches
We can use the scale factor to find the length of the left edge in the scale drawing.
Original Length of left edge = 36 inches
Original Length of top edge = 24 inches
Scale Length of top edge in the scale drawing = 8 inches
Scale factor = Scale Length / Original Length
Scale factor = 8 inches / 24 inches = 1/3
To find the length of the left edge in the scale drawing, we can multiply the scale factor by the original length of the left edge.
Length of left edge in the scale drawing = 36 inches * (1/3) = 12 inches
The area of the scale drawing is the product of the length of the left edge and the length of the top edge in the scale drawing.
Area of the scale drawing = 12 inches * 8 inches = 96 square inches
Therefore, the area of Alfredo's scale drawing is 96 square inches.