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.
3 ft.
9 ft.
4 ft
(1 point
• 12 square feet
• 45 square feet
54 square feet
• 108 square feet
To find the area of the completed flag, we need to find the area of the triangle on the scale drawing and then use the scale factor to find the area of the larger triangle.
Scale factor = 3/1 = 3
Area of triangle on scale drawing = (1/2) * 3 * 4 = 6 square feet
Area of larger triangle = 6 * scale factor^2 = 6 * 3^2 = 6 * 9 = 54 square feet
Therefore, the area of the completed flag will be 54 square feet.