sat math geometry question

[lily]

If the diagonal of a square measures , what is the perimeter of the square?

(A)

(B)

(C)

(D)

Thanks

[kadence]

Two consecutive sides of a square are perpendicular to each other and form a right angled triangle with the diagonal.

From the Pythagoras’ theorem





Therefore, the perimeter is equal to

Thus, the correct answer is (A).

Hope these help!!

[lily]

Thank you!