Comparison of Area and Perimeter

Area of (I) = $9 \times 4 = 36\text{ cm}^2$. Area of (II) = $6^2 = 36\text{ cm}^2$. Area of (III) = $\frac{1}{2} \times 9 \times 8 = 36\text{ cm}^2$. Thus, all three areas are equal (Statement B is correct). Perimeter of (I) = $2(9+4) = 26\text{ cm}$. Perimeter of (II) = $4 \times 6 = 24\text{ cm}$. Perimeter of (III) = $9 + 8 + \sqrt{81+64} = 17 + \sqrt{145} \approx 29.04\text{ cm}$. So statement D is false and C is false. Hence, B only is correct.