a rectangle is 2 metres longer than it is wide. If each side gets increased by 2 metres, then the area increases by 16 square metres. find the dimension of the rectangle?

so $\displaystyle A = Height \cdot Width$

$\displaystyle A = (x+2)x$

$\displaystyle 16^2 = (x+4)(x+2)$

is this the appropriate calculations to be done? how should i go about it for the rest . any help?