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
108 square feet
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To find the area of a flag, you can use the formula for the area of a triangle: Area = 1/2 * base * height.
Looking at the scale drawing on the left, we can see that the base is 3 feet and the height is 4 feet.
Using the formula, the area of the scale drawing is: 1/2 * 3 feet * 4 feet = 6 square feet.
Now, looking at the picture on the right, the base is 6 feet and the height is 8 feet (double the dimensions of the scale drawing).
Using the formula again, the area of the completed flag is: 1/2 * 6 feet * 8 feet = 24 square feet.
Therefore, the completed flag will have an area of 24 square feet.
None of the options provided match this answer, so the correct answer is not listed.