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 12 inches, and the width qr is labeled as 6 inches. the side lm of the square is labeled as 6 inches. sam says that the length of diagonal sq is two times the length of diagonal om. is sam correct? justify your answer and show all your work. your work should state the theorem you used to find the lengths of the diagonals

Rectangle has height of 6", and a length of 12".you can make a right triangle by cutting it along the diagonal, thus you are able to use the pythagorean theorem to calculate the diagonal: , which is the length of the diagonal.now, since the length is double the square root of 45, for the statement to be correct, the length of the squares diagonal must be  the square has sides of 6", and you can, again, cut it diagonally to make a right triangle.then you would use the pythagorean theorem again to find the diagonal: since the square root of 72 is not equal to the square root of 45, you can deduce that the statement is false.