Optimization problem with trig

[LvL 1]

Homework Statement

An isosceles triangle has a rectangle inside of it with length 2 cm and width 6 cm. What angle ∅ will give the triangle the minimum area.

Homework Equations

A =1/2 (bh)

The Attempt at a Solution

 

[DryRun]

In your solution, what does x represent?

 

[LvL 1]

In my solution x represents the space which the rectangle does not cover.
Since the width of the rectangle is 6cm, and there are two spaces, The base of the triangle should be 6+2x.