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
Skip to navigation
To find the area of the completed flag, we need to determine the scale factor by comparing the dimensions on the scale drawing to the actual flag.
From the scale drawing, we can see that the base of the triangle is 6 feet and the height of the triangle is 9 feet.
On the actual flag, the base of the triangle is 12 feet and the height is 18 feet.
To find the scale factor, we can divide the actual dimensions by the scale drawing dimensions:
12/6 = 2 (base scale factor)
18/9 = 2 (height scale factor)
Since the scale factor is the same for both the base and height, we can conclude that the area of the completed flag will be the scale factor squared times the area of the scale drawing.
Area of scale drawing = (1/2) * 6 * 9 = 27 square feet
Scale factor squared = 2 * 2 = 4
Area of completed flag = 27 * 4 = 108 square feet
Therefore, the area of the completed flag will be 108 square feet.