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Four tangents are drawn to the ellipse $\displaystyle{}\frac{x^2}{9} + \frac{y^2}{5} =1$ at the ends of its latera recta. The area of the quadrilateral so formed is

  1. $27$
  2. $\frac{13}{2}$
  3. $\frac{15}{4}$
  4. $45$
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