The ratio of the perimeters is: 7/4
How to find the scale factor?
To find the scale factor and ratio of perimeters for a pair of similar octagons with areas 16 ft² and 49 ft², we can use the fact that the ratio of the areas of two similar polygons is equal to the square of the scale factor, and the ratio of their perimeters is equal to the scale factor.
The scale factor can be found by taking the square root of the ratio of the areas:
√(49/16) = 7/4
The ratio of the perimeters is equal to the scale factor:
Ratio of perimeters = 7/4