Answer:
<em>* Area of Pentagon ⇒ 18 cm^2 *</em>
Step-by-step explanation:
Two of this triangles area are the same provided they are present with similar height and base length. They form a larger triangle such that, for the simplicity, let us start with finding the area of this larger triangle;
Area of Triangle ⇒ 1/2 * base * height ⇒ 1/2 * 6 * 2 ⇒ 6 cm^2
Now there is a similar issue with another two triangles, but they are present to not form a larger triangle. We could imagine that they are next to one another however, and solve for this larger triangle's area;
Area of Triangle ⇒ 1/2 * base * height ⇒ 1/2 * 4 * 3 = 6 cm^2
The last remaining shape is a rectangle, present with dimensions 3 by 2 centimeters such that it's area would be;
Area of Rectangle ⇒ base * height ⇒ 3 * 2 = 6 cm^2
The area of the pentagon is, consecutively;
<em>Area of Pentagon ⇒ 6 + 6 + 6 = 18 cm^2</em>