A square with side length 5.5 mm is increased by a factor of 11. What will be the perimeter of the square after dilation?
To find the perimeter of the square after dilation, we need to multiply the original perimeter by the scale factor.
First, let's find the original perimeter of the square with side length 5.5 mm. The formula for the perimeter of a square is "side length x 4". Therefore, the original perimeter is 5.5 mm x 4 = 22 mm.
Next, we need to find the scale factor. The scale factor is the ratio of the new size to the original size. In this case, the original size is 5.5 mm, and the new size is 11 times the original size. So the scale factor is 11.
Finally, we can find the perimeter of the square after dilation. We multiply the original perimeter by the scale factor: 22 mm x 11 = 242 mm.
Therefore, the perimeter of the square after dilation will be 242 mm.
side length = 5.5 mm
increased by a factor of 11 mean:
new side a = 5.5 ∙ 11 = 55 mm
The perimeter of the square after dilation:
P = 4 a = 4 ∙ 55 = 220 mn