Answer:
144 in²
Explanation:
To solve for the area of a trapezoid divided into a parallelogram (in this case a rectangle) and two triangles, you calculate the area of each part and add it together.
the area of a triangle = (base • height) / 2
the area of a parallelogram = (base • height)
so:
1. Calculate area of first triangle. 8 • 8 = 64, 64/2 is 32
2. Calculate the area of the second triangle. Since in this situation you have two equal triangles, you multiply the answer to the first part by 2 and get 64 in² again.
3. Calculate the area of the rectangle. 8 • 10 = 80 in²
4. Add the two numbers together. 80 + 64 = 144 in²