To find the area of the completed flag, we need to find the scale factor first.
From the scale drawing on the left, we can see that the side lengths of the original triangle are 6 feet, 8 feet, and 10 feet, making the area of the original triangle 24 square feet (since it is a right-angled triangle).
Now, looking at the enlarged triangle on the right, we can see that its side lengths are 12 feet, 16 feet, and 20 feet.
To find the scale factor, we can divide the corresponding side lengths of the enlarged triangle by the original triangle:
12/6 = 2
16/8 = 2
20/10 = 2
So, the scale factor is 2.
Therefore, to find the area of the completed flag, we need to square the scale factor and multiply it by the original area:
(2^2) * 24 = 4 * 24 = 96 square feet
Hence, the area of the completed flag will be 96 square feet.
Therefore, none of the provided options are correct.
Use the image to answer the question below
Archer is sewing a triangular flag. He starts with a 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 feett
72
108
54
Six
1 answer
1 answer