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 108
square feet
To find the area of the completed flag, first we need to determine the scale factor by comparing the dimensions of the original flag to the dimensions of the enlarged flag.
Original flag:
Base = 3 ft
Height = 4 ft
Enlarged flag:
Base = 9 ft
Height = 12 ft
Therefore, the scale factor is 3, as the dimensions of the enlarged flag are three times the dimensions of the original flag.
Now, we can calculate the area of the completed flag:
Area = (Base x Height) x (Scale factor)^2
Area = (3 x 4) x (3)^2
Area = 12 x 9
Area = 108 square feet
Therefore, the area of the completed flag will be 108 square feet.