5.2.4.33 Various Problems on the Plane

Condition: in the parallelogram \ (a b c d \) the length of the diagonal \ (b d \) is 2, angle \ (c \) is equal to \ (45^{\ circ} \), and the straight \ (c d \) applies to the circle described near the triangle \ (a b d \). Find the area of the parallelogram \ (a b c d \).