Answer:
2340 units²
Step-by-step explanation:
The easiest way to solve for the area of the hexagon is to find the area of the rectangle and subtracting the area of the triangles from it.
First, find the area of the rectangle:
A(rectangle) = (15 + 30 + 15)(26 + 26)
A(rectangle) = (60)(52)
A(rectangle) = 3120
Next, find the area of the 4 triangles:
A(triangles) = 1/2(15)(26) · 4
A(triangles) = 195 · 4
A(triangles) = 780
Finally, subtract the two areas to find the area of the hexagon:
A(hexagon) = 3120 - 780
A(hexagon) = 2340
