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.

I think it is 4/7 D.