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)
To find the area of Alfredo's scale drawing, we need to consider the scale factor between the dimensions of the original poster and the scale drawing.
Let's assume the scale factor is the same for both the length and width of the poster.
Original poster dimensions:
Length = 20 inches
Width = 10 inches
Scale drawing length:
Length = 10 inches (given in the table)
Now, we need to figure out the scale factor:
Scale factor = Length of scale drawing / Length of original poster
Scale factor = 10 inches / 20 inches
Scale factor = 0.5
Now, we can use the scale factor to find the width of the scale drawing:
Width of scale drawing = Scale factor x Width of original poster
Width of scale drawing = 0.5 x 10 inches
Width of scale drawing = 5 inches
Now, we can calculate the area of the scale drawing:
Area of scale drawing = Length x Width
Area of scale drawing = 10 inches x 5 inches
Area of scale drawing = 50 square inches
Therefore, the area of Alfredo's scale drawing is 50 square inches.