Similar polygons have areas that are proportional to the square of the corresponding length ratios between the polygons. If one polygon's lengths are a times the lengths of another similar polygon, the area of the first will be a squared times the area of the second. Ratios of areas of similar polygons are equal to the square of the ratios of their corresponding lengths.

1. Terms of Endearment
Perimeters and Areas of
Similar Figures: 11.3

2. Areas of Similar Polygons
• If the ratio of the lengths of two
similar polygons is a:b, then the
ratio of their areas is a2:b2