Bakery makes two sizes of cheet cake. It takes 2 pounds frosting to cover the small cake. It takes 8 pounds frosting to cover the large cake. if the cakes are similar, how many sizes bigger are the sides of the large cake?

The sides of the large cake are ** 2 times** the length of the sides of the small one.

- The amount of the frosting depends on the

**of the cake.**

*area*- The area grows as fast as the

**grows.**

*square of the sides*- The ratio of the areas is the

**square**of the ratio of the sides.

- If you make the sides

**times as long, the area becomes (2²) = 4 times as much.**

*2*- If you made the sides 7 times as long, you’d need (7²) = 49 times as much frosting.

- If you made the sides 10 times as long, you’d need 10² = 100 times as much.

RELATED: