Answer:
Let ABCD be the rectangle with diagonals AC and BD meeting at O.
AB = CD = 30 cm
BC = AD = 16 cm
Applying Pythagoras theorem in right-angled triangle ABC, we get:
????????2 = ????????2 + ????????2 = 302 + 162
=>900 + 256
=>1156
???????? = √1156
=>34 ????????
Diagonals of a rectangle are equal.
AC = BD = 34 cm