The areas of two similar triangles have a ratio of 16:49. What is the ratio of their perimeters? Question options: A) 256/2401 B) 16/49 C) 64/343 D) 4/7

The ratio of areas is the square of the ratio of perimeters (or any linear measure). Then the ratio of perimeters is the square root of the ratio of areas:
.. √(16/49) = 4/7

Selection D is appropriate.