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.
[tex] \bf \stackrel{\textit{4 triangles}}{4\left[ \cfrac{1}{2}(2)(3) \right]}~~+~~\stackrel{\textit{4 trapezoids}}{\cfrac{h(a+b)}{2}\to 4\left[ \cfrac{1(2+4)}{2} \right]}~~+~~\stackrel{\textit{one square}}{4\cdot 4}
\\\\\\
12+12+16\implies 40 [/tex]
