The longest rod that can be placed flat on the bottom of a box is $45$ cm.The box is $9$ cm longer than its width.The dimensions of the bottom of the box are ______

Question

$\begin{array}{1 1}(A) \; \text{35 cm, 26 cm}\\(B)\;\text{36 cm, 27 cm} \\(C)\;\text{34 cm, 22 cm}\\(D)\;\text{32 cm, 40 cm} \end{array}$