Use the table to answer the question.

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

192 square inches
192 square inches

96 square inches
96 square inches

1/3
square meters

Answer 1

To find the area of Alfredo's scale drawing, we first need to determine the length of the left edge of the scale drawing based on the dimensions given for the original poster.

The original dimensions of the poster are:

• Left edge: 36 inches
• Top edge: 24 inches

The top edge in the scale drawing is given as 8 inches. We can determine the scale factor by comparing the original top edge to the scale drawing:

Scale factor = (length of top edge in scale drawing) / (length of top edge in original poster)
Scale factor = 8 inches / 24 inches = 1/3

Now that we know the scale factor, we can find the length of the left edge in the scale drawing by applying the scale factor:

Left edge in scale drawing = (left edge in original poster) × (scale factor)
Left edge in scale drawing = 36 inches × (1/3) = 12 inches

Now we have the dimensions of the scale drawing:

• Left edge: 12 inches
• Top edge: 8 inches

To find the area of the rectangle (scale drawing), we use the formula for the area of a rectangle (Area = length × width):

Area = (left edge) × (top edge)
Area = 12 inches × 8 inches = 96 square inches

Therefore, the area of Alfredo's scale drawing is 96 square inches.