Question

Number of ways of selecting verticle
sides
( =1+3+5+ldots . .+(2 n-1)=n^{2} )
Number of ways of selecting horizontal sides
( =m^{2} )
( therefore ) Number of rectangles ( =m^{2} n^{2} )

# 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 n (b) mn (m + 1)(n+1) (d) None of these (c) -n-1

Solution