what’s the area of this shape

The shape at the top is a trapezoid with width 2 cm and lengths 4 and 8 cm.
Its area is
4+8
-------- 2 cm = 12 cm^2
2
The lower part consists of two congruent triangles. The area of a triangle is
A = (1/2)(b)(h). Here, A = (1/2) (4)(5.75) = 11.5, so the area of both triangles is 23 cm^2.
Thus, the total area is (12+23) cm^2, or 35 cm^2.
Split this shape into a trapezoid and a triangle
Area of trapezoid:
A = 1/2(b1+b2)h
A = 1/2(4+8) (2)
A = 12
Area of triangle:
A = 1/2bh
A = 1/2(8)(5.75)
A = 23
Area of the shape = Area of trapezoid + Area of triangle
= 12 + 23
= 35
Answer
35 cm^2