Look at the rectangle and the square:

a rectangle pqrs and square lmno are drawn side by side. the length sr of the rectangle is labeled as 16 inches, and the width qr is labeled as 8 inches. the side lm of the square is labeled as 8 inches.

ada says that the length of diagonal sq is two times the length of diagonal om.

is ada correct? justify your answer and show all your work. your work should state the theorem you used to find the lengths of the diagonals.