FIITJEE problem!

Level pending

In the figure above,you can see a cyclic quadrilateral \(\text{ABCD}\) and a circle.The radius of the circle is \(1\ \text{unit}\).The area of the cyclic quad. is\(\dfrac{3\sqrt{3}}{4}\ \text{unit}^2\).The side \(\text{AB}\) has a length of \(1\ \text{unit}\) and the diagonal \(\text{BD}\) is of length \(\sqrt{3}\ \text{units}\).What is the perimeter of the quad.?

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