GRE Question of the Day (June 4)

In the figure above, each of the four squares has sides of length x. If ∆PQR is formed by joining the centers of three of the squares, what is the perimeter of ∆PQR in terms of x ?

(A) \({2x [square_root]2[/square_root]}\)

(B) \({\frac{x\sqrt2}{2}}\) \({+ x}\)

(C) \({2x + [square_root]2[/square_root]}\)

(D) \({x [square_root]2[/square_root] + 2}\)

(E) \({2x + x [square_root]2[/square_root]}\)