A BOY WISHES TO CUT THE LARGEST POSSIBLE SQUARE OUT OF A PIECE OF...

45. A boy wishes to cut the largest possible square out of a piece of cardboard in the shape of a right triangle,

with legs of 8 inches and 12 inches as shown in figure 45. The side of the square, in inches, is

(A) 4

(B) 5

(C) 4.8

(D) 4.5

(E) 4.3

Fig. 45