Original Poster Scale Drawing
left edge (in.) 36 ?
top edge (in.) 24 8
A local food organization puts out a healthy food 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?
We can use the scale factor to find the length of the left edge in the scale drawing:
scale factor = length in scale drawing / original length
In this case, the scale factor is:
8 / 24 = 1/3
So the length of the left edge in the scale drawing is:
36 * 1/3 = 12
Now we can find the area of the scale drawing:
Area = length x width
Area = 12 x 8
Area = 96 square inches
Therefore, the area of Alfredo's scale drawing is 96 square inches.
To find the area of Alfredo's scale drawing, we need to determine the dimensions of the scale drawing and then calculate its area. The scale of the drawing is determined by the ratio of the lengths of the corresponding sides on the original poster and the scale drawing.
Given that the length of the top edge on the original poster is 24 inches and the corresponding length on the scale drawing is 8 inches, we can determine the scale factor.
Scale factor = Length of corresponding side on the scale drawing / Length of corresponding side on the original poster
In this case, the scale factor is 8/24 = 1/3.
Now, we can determine the dimensions of the scale drawing using the scale factor.
Length of the left edge on the scale drawing = (Scale factor) * (Length of the left edge on the original poster)
= (1/3) * 36 inches
= 12 inches
Knowing the dimensions of the scale drawing, we can calculate its area.
Area of the scale drawing = Length of the left edge on the scale drawing * Length of the top edge on the scale drawing
= 12 inches * 8 inches
= 96 square inches
Hence, the area of Alfredo's scale drawing is 96 square inches.
To find the area of Alfredo's scale drawing, we need to determine the length of the left edge of the scale drawing.
We can set up a proportion using the given information:
original poster left edge / original poster top edge = scale drawing left edge / scale drawing top edge
Using the values from the table:
36 / 24 = ? / 8
To solve for the unknown value, we cross multiply:
36 * 8 = 24 * ?
288 = 24 * ?
Now we can solve for "?":
288 / 24 = ?
? = 12
So, the length of the left edge of the scale drawing is 12 inches.
Now, we can calculate the area of the scale drawing:
Area of scale drawing = length of left edge * length of top edge
= 12 inches * 8 inches
= 96 square inches
Therefore, the area of Alfredo's scale drawing is 96 square inches.