A local food organization puts out 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 a community center. He makes a scale drawing of the poster with the length on the top edge given in the table what is the area of Alfredo scale drawing?

1 answer

To find the area of Alfredo's scale drawing, we first need to calculate the scale factor.

The original poster dimensions are 24 inches by 36 inches, so the original area is:
Area = 24 inches * 36 inches = 864 square inches

If the length on the top edge of the scale drawing is 12 inches, then the scale factor is:
Scale factor = 12 inches / 24 inches = 0.5

To find the area of Alfredo's scale drawing, we need to square the scale factor and then multiply by the original area:
Area of scale drawing = (0.5)^2 * 864 square inches = 0.25 * 864 square inches = 216 square inches

Therefore, the area of Alfredo's scale drawing is 216 square inches.