The correct answer is 54 square feet.
To find the area of a triangle, you can use the formula A = 1/2 * base * height.
In the scale drawing, the base of the triangle is 6 feet and the height is 12 feet.
So, the area of the scale drawing triangle is A = 1/2 * 6 * 12 = 36 square feet.
Since the flag is being enlarged, the area of the completed flag will also increase in the same proportion. The scale factor is 3 (from 6 feet to 18 feet), so the area of the completed flag will be 36 * 3^2 = 36 * 9 = 324 square feet.
Therefore, the correct answer is 54 square feet.
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
1 answer
1 answer