A rectangle with sides 2m - 1 and 2n - 1 divided into squares of unit length. The number of rectangle which can be formed with sides of odd
length is

For length. number of choices is $(2\mathrm{m}-1)+(2\mathrm{m}-3)+\dots +3+1={\mathrm{m}}^2$
Similarly. for breadth number of choices is $(2\mathrm{n}-1)+(2\mathrm{n}-3)+\dots +3+1={\mathrm{n}}^2$
Hence, required number of choices is m²n²,