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
The area of the completed flag can be calculated by finding the ratio of the sides of the two triangles and squaring that ratio to find the ratio of the areas.
In this case, the scale drawing triangle has sides of 2 inches, 2 inches, and 4 inches. The final flag triangle has sides of 6 inches, 6 inches, and 12 inches.
The ratio of the sides is 6/2 = 3.
Therefore, the ratio of the areas would be 3^2 = 9.
Since the scale drawing has an area of 6 square inches, the final flag would have an area of 6 * 9 = 54 square inches.
Therefore, the area of the completed flag will be 54 square feet.