AREA OF THE INSCRIBED EQUILATERAL TRIANGLE IS WHAT? 

Note that the circumscribed shape is a rectangle and not a square. We assigned x to be its width and a + b (Given) to be its length.
This is a plane geometry measuration. Though the question can be answered in two method (1) Finding angles of the right triangles and using the length and angle relationship to solve the required area of the triangle and (2) Finding the hypotenuse of each right triangles which are the side lengths of the equilateral triangle and then using relationship between this side length to solve for the area of the equilateral triangle. In this case, we use the second method and then, we use the area formular of the triangle involving sine of angle to solve for the required area of the triangle.
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