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 in square feet? Use the formula sheet provided. (1 point) Responses 12 square feet 12 square feet 45 square feet 45 square feet 54 square feet 54 square feet 108 square feet
Assuming that the completed flag will be an enlarged version of the original flag, we can find the scale factor by comparing the base of the triangle in both the original and the final flag.
In the original flag: base = 4 ft and height = 3 ft
In the final flag: base = 12 ft (3 times the original base since the scale factor is 3) and height = 9 ft (3 times the original height since the scale factor is 3)
The area of a triangle is given by the formula: Area = 0.5 * base * height
Using the values from the final flag, we get:
Area = 0.5 * 12 * 9 = 54 square feet
Therefore, the correct answer is:
54 square feet