What is the area of the shaded region? (with explication and formula )

check the picture below.

so the shape has 4 of that yellow triangle, and 4 of that red trapezoid, and that one rectangle in the middle.

now, notice the triangle has a base of 2, an altitude/height of 3.

the trapezoid has a bases of 2 and 4 and a height of 1.

the rectangle is just 4x4 square.

so we can just find the area of each, sum them up, and that's the area of the composite.

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step-by-step explanation: