Let x and y be the lengths of AB and BD respectively.

Then, (1)

Let (2), where k is an integer.

sub. (2) into (1), .

When , or . Since x and y are positive, we take . Sub. into (1), we have , rejected.

When , . We take . Sub. it into (1), we get Hence, the minumum integer value of the sum of [AB]+[BD] is 2.

For integer solution of x and y, there are no solution since .