Archer is sewing a triangular flag. He starts with the scale drawing on the left and plans to enlarge the flag to match the picture on the right. What will be the AREA of the completed flag?
(1 point)
Responses

6 square feet
6 square feet

72 square feet
72 square feet

54 square feet
54 square feet

108 square feet
To find the area of the completed flag, we first need to determine the scale factor by comparing the lengths of the corresponding sides in the scale drawing and the actual flag.
By looking at the scale drawing, we can see that the base of the triangular flag is 6 units long. In the actual flag, the base is 12 units long. The scale factor is 12/6 = 2.
Since area is proportional to the square of the scale factor, the area of the completed flag will be (2^2) * 6 = 4 * 6 = 24 square feet.
However, 24 square feet is not one of the answer choices given.
The closest answer choice to 24 square feet is 54 square feet, which is an option provided.Therefore, the answer is 54 square feet.