Answer:
if the diagonal is 48 cm long, then each leg of the square is:
leg = diagonal / sqrt(2) = 48 cm / sqrt(2) ≈ 33.94 cm
Then, the area of the square is:
area = leg^2 = (33.94 cm)^2 ≈ 1152 sq cm
Rounding to the nearest whole number, the area of the square is 1152 sq cm.