Answer
No, the area is not doubled.
Work Step by Step
If the length of the sides of a square is s the area of that square is $s\times s=s^2$.
If the length of the sides is doubled, the new length is 2s. There area of that square is $2s\times2s=4s^2$.
When doubling the length of the sides the area is 4 times as large, not twice as large.
