**Answer:**

**Step-by-step explanation:**

**Given**

**Required**

Calculate the perimeter of A B C

To calculate the perimeter of A B C, we sum up the sides of the triangle

i.e.

AB is given in the question already.

So, we need to calculate B F and F C

**To solve for BF, we consider triangle B F C**

**Using Pythagoras Theorem, we have:**

**Substitute values for BF and FC;**

**Next, we calculate A C.**

**To calculate A C, we need to calculate A F, considering triangle B F A**

Using Pythagoras Theorem, we have:

Substitute values for B F and A B;

**Since F lies on line A C:**

**Recall that:**

<em>**Hence, the perimeter is 38.6**</em>