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A regular hexagon is dilated by a scale factor of 75 to create a new hexagon. How does the perimeter of the new hexagon compare with the original perimeter?

A. The perimeter of the new hexagon is 4925 the perimeter of the original hexagon.
B. The perimeter of the new hexagon is 495 the perimeter of the original hexagon.
C. The perimeter of the new hexagon is 355 the perimeter of the original hexagon.
D. The perimeter of the new hexagon is 75 the perimeter of the original hexagon.

Respuesta :

Short Answer: D
Given
The perimeter of a hexagon  is 
P = (6 a) where a is the length of one side of the hexagon
Answer
If the p is dilated by a factor of 75 then the new perimenter will be 75 times as big.

P/P2 = 6 a / 75 (6a)
The 6a s cancel out and you are left with
75 P = P2

Answer D <<<<< 

Answer:

D. The perimeter of the new hexagon is 7/5 the perimeter of the original hexagon.

Step-by-step explanation:

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