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 area of the cake.
- The area grows as fast as the square of the sides grows.
- The ratio of the areas is the square of the ratio of the sides.
 
- If you make the sides 2 times as long, the area becomes (2²) = 4 times as much.

- 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.


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