A rectangle with sides of lengths `(2n-1) and (2m-1)` units is divided into squares of unit length. The number of rectangles which can be formed with sides of odd length, is (a) `m^2n^2` (b) `mn(m+1)(n+1)` (c) `4^(m+n-1)` (d) non of these

Options

A. `(m+n+1)^2`
B. `4^((m+n-1))`
C. `m^2n^2`
D. mn(m+1)(n+1)

Answer

C