Question
Tracy dilates the square below. The perimeter of the dilated square is 84 millimeters.
Answers
GPT 3.5
Since the square is dilated, all sides of the square will increase by the same factor. Let's say the scale factor of dilation is k.
Let x be the length of one side of the original square. So after dilation, the length of one side of the larger square will be kx.
The perimeter of the original square is 4x and the perimeter of the dilated square is 4(kx). We are given that the perimeter of the dilated square is 84 millimeters.
4(kx) = 84
kx = 21
k = 21/x
Since all sides increase by the same factor, all sides will be kx, so each side of the dilated square will be 21 millimeters.
Therefore, Tracy dilated the square into a square with each side measuring 21 millimeters.
Let x be the length of one side of the original square. So after dilation, the length of one side of the larger square will be kx.
The perimeter of the original square is 4x and the perimeter of the dilated square is 4(kx). We are given that the perimeter of the dilated square is 84 millimeters.
4(kx) = 84
kx = 21
k = 21/x
Since all sides increase by the same factor, all sides will be kx, so each side of the dilated square will be 21 millimeters.
Therefore, Tracy dilated the square into a square with each side measuring 21 millimeters.