In the coordinate plane, T'U'V'W' is the image of rectangle TUVW after a dilation with a scale factor of 43 centered at the origin. The perimeter of TUVW is 12 units.What is the perimeter of T'U'V'W'?Write your answer as a whole number or decimal. Do not round. units
Question
In the coordinate plane, T'U'V'W' is the image of rectangle TUVW after a dilation with a scale factor of 43 centered at the origin. The perimeter of TUVW is 12 units.What is the perimeter of T'U'V'W'?Write your answer as a whole number or decimal. Do not round. units
Solution
In a dilation, the lengths of the sides of a figure are multiplied by the scale factor. In this case, the scale factor is 43.
The perimeter of a rectangle is calculated by adding up all its sides. Since the rectangle TUVW has a perimeter of 12 units, after a dilation with a scale factor of 43, the perimeter of the rectangle T'U'V'W' will be 12 units * 43 = 516 units.
So, the perimeter of T'U'V'W' is 516 units.
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