In two similar polygons, the ratio of their areas is the square of the ratio of their corresponding sides.

Side of the larger polygon: 10 units

Side of the smaller polygon: 6 units

**Question A: Find the ratio of the areas.**

10:6 is 5:3 in lowest term (Divide each value by its GCF 2.)

Solution:

Ratio of the area of the similar polygons = (5)² : (3)²

Ratio of the areas = 25 : 9

**ANSWER: The ratio of the areas is 25 : 9.**

**Question B: What is the area of the larger polygon if the smaller polygon's area is 12 sq. units.**

Let x be the area of the larger polygon:

25 : 9 = x : 12

(9) (x) = (25) (12)

9x = 300

9x/9 = 300/9

x = 33.33 sq. units

**ANSWER: The area of the larger polygon is 33.33 sq. units.**