3. There are four propositions:
(1) If the sum and product of two integers are equal, then these two integers are both equal to 2;
(2) If the largest side of triangle A is less than the smallest side of triangle B, then the area of triangle A is less than the area of triangle B;
(3) A polygon where each angle is $179^{\circ}$ does not exist;
(4) The area of a quadrilateral with only one side longer than 1 can be equal to $\frac{1}{2}$.
The number of correct propositions is ( ).
(A) 1
(B) 2
(C) 3
(D) 4