Please help me I'm very confused

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.

Answered by AL2006 | 2024-06-10

The area of a shape increases as the square of the factor by which its side lengths are increased. For example, doubling the side length increases the area by a factor of four (2²). This principle applies across various geometric shapes, demonstrating a consistent scaling relationship.
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Answered by AL2006 | 2024-12-23