Calculate the area of a green trapezoid within a square and equilateral triangle

A green trapezoidal area within a square and equilateral triangle measures approximately 71.13 square centimeters. The trapezoid's size is determined by calculations involving a square with 10 cm sides and an equilateral triangle, where one side of the trapezoid is parallel to a side of the square. The problem involves geometric calculations using the Pythagorean theorem and formulas for trapezoid area, with specific segment lengths denoted by 'x'.