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 oddlength is

For length. number of choices is (2m−1)+(2m−3)+…+3+1=m2Similarly. for breadth number of choices is (2n−1)+(2n−3)+…+3+1=n2Hence, required number of choices is m2n2,