If the length of a square is doubled how is the area affected?

Answer 1

The Area of a square can be written as it's side length^2, or
A = s^2

if the side length is doubled, then s' is 2s.

A' = (s')^2

A' = (2s)^2

A' = 4s^2 = 4*A

When the side length is doubled, the area increases by a factor of 4

Answer 2

When the length of a square is doubled, the area is quadrupled. This is because the area of a square is calculated by multiplying the length by the width, and if both the length and width are doubled, the resulting area is four times the original. Mathematically, if the original area of the square is A, then the new area would be 4A after doubling the length.