A triangle PQR has angle PQR as 105 degrees. What is the area of

When I thought a bit, here is my approach:

We have to draw height PD from P angle to QR segment. No w we have got two right triangles PDR and PDQ
Lets check triangle PQD. Angle PQD is 45 degree and angle PDQ is 90 degree, we can find angle QPD=45. This triangle is isosceles right triangle with 45 degree phenomenon, As we know PQ=5 we can calculate every side.
Now let's check triangle PDR. As we know PRD angle is 30 degree and PDR angle 90 degree, we have got right triangle with 30 degree phenomenon and as we already know PD side we can calculate every side.

Area of the triangle PQR=PD*(QD+DR)/2

In My Opinion
Ans: C

P.S Couldn't find how to attach files, to show the figure illustration. Sorry for my bad