FIITJEE problem!

Level 2

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


The answer is 6.

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