The document discusses perimeters and areas of similar polygons. It states that if two polygons are similar, the ratio of their perimeters is equal to the ratio of corresponding side lengths, and the ratio of their areas is the ratio of corresponding side lengths squared. An example calculates the perimeter and area ratios of two similar pentagons. Another example uses similar figures to determine the cost of different sized pieces of paper. A final example calculates the area of a smaller octagon given its perimeter and the perimeter and area of a larger similar octagon.