The area of a trapezoid is given by
![A = ((B+b)h)/(2)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/2v65a8ey1fs0f1p55clvxm0bv8g5icu8vw.png)
where B and b are the minor and major bases, and h is the height.
The minor base is given, and it's 7 cm
The major base is the minor base plus the two pieces at the sides, so it's a total of 7+5+5=17.
The height is also given, and it's 5. So, the area is
![A = ((7+17)5)/(2)=12](https://img.qammunity.org/2020/formulas/mathematics/middle-school/964bq4ffqaykulm4ck78xkyu9kx5tah70m.png)