Rectangular Tiling

You have a rectangular floor $R$ with width $W$ and length $L$. You want to tile this floor with some rectangular tiles - $R_1, R_2, \ldots, R_k$, where $k$ is any integer $\ge 1$. But you want to tile it such that for $i$, $1 \leq i \leq k$, the width and height of $R_i$ is a positive integer, and $R_i$ has a perimeter which isn't divisible by $4$. \ Note that different tiles can have different