A square with a perimeter of 82 units is dilated by a scale factor of 44. Find the perimeter of the square after dilation. Round your answer to the nearest tenth, if necessary.
To find the perimeter of the square after dilation, we need to first find the side length of the original square.
Given that the perimeter of the original square is 82 units, we can use the formula for the perimeter of a square:
Perimeter = 4 * side length
82 = 4 * side length
Side length = 82 / 4
Side length = 20.5 units
Now, to find the perimeter of the square after dilation, we multiply the side length by the scale factor:
New side length = 20.5 units * 44
New side length = 902 units
Finally, we find the perimeter of the dilated square:
Perimeter = 4 * new side length
Perimeter = 4 * 902
Perimeter = 3608 units
So, the perimeter of the square after dilation is 3608 units.