The area of the trapezoid is 35 cm².
Solution:
The figure is splitted into two shapes.
The reference image is attached below.
One shape is rectangle and the other is triangle.
Length of the rectangle = 6 cm
Width of the rectangle = 5 cm
Area of the rectangle = length × width
= 6 × 5
= 30 cm²
Base of the triangle = 8 cm - 6 cm = 2 cm
Height of the triangle = 5 cm
Area of the triangle =
![(1)/(2) bh](https://img.qammunity.org/2021/formulas/mathematics/high-school/gsshnj1nhjavgj83ryofbg1gxm41g4zq6k.png)
![$=(1)/(2) *2 *5](https://img.qammunity.org/2021/formulas/mathematics/middle-school/psg3915rx7g8akgsgj2i42iz19iy6uxnpo.png)
= 5 cm²
Area of the trapezoid = Area of the rectangle + Area of the triangle
= 30 cm² + 5 cm²
= 35 cm²
The area of the trapezoid is 35 cm².