Answer:
40 cm^2
Step-by-step explanation:
The area of the polygon is comprised of two triangles, each of which can be broken down into two right triangles for a total of four right triangles when split vertically.
The formula for the area of a triangle is: A = 1/2 * base * height.
The base for both triangles is 8 cm, and the height for both triangles is given on the right (6 cm for the top triangle and 4 cm for the bottom triangle).
The area of the top triangle will be:
A = 1/2 * 8 * 6
A = 4 * 6
A = 24
The area of the bottom triangle will be:
A = 1/2 * 8 * 4
A = 4 * 4
A = 16
Adding the values of the two areas, we get a total area of 40 cm^2.
