Expression :
[tex]4(x + 3) = 4x + 12[/tex]
Area in terms of x :
[tex](4x + 12)^{2} \\ = {16x}^{2} + 96x + 144[/tex]
No, it wouldn't be the same, for reasons below :
Assuming x = 2, that would make the ratio of the original rectangle and the larger rectangle 1 : 20.
Assuming x = 3, that would make the ratio of the original rectangle and the larger rectangle 1 : 24.
Hope this helps. - M