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?
To find the area of Alfredo's scale drawing, we first need to determine the scale ratio by dividing the length of the top edge of the scale drawing by the length of the top edge of the original poster.
Scale ratio = length of scale drawing / length of original poster
Scale ratio = 30 cm / 120 cm
Scale ratio = 1/4
Next, we need to find the length of the other side of the scale drawing using the scale ratio.
Length of other side of scale drawing = Scale ratio * original length of other side
Length of other side of scale drawing = 1/4 * 80 cm
Length of other side of scale drawing = 20 cm
Now, we can calculate the area of the scale drawing.
Area of scale drawing = Length of top edge * Length of other side
Area of scale drawing = 30 cm * 20 cm
Area of scale drawing = 600 square cm
Therefore, the area of Alfredo's scale drawing is 600 square cm.