Answer:
414 units squared
Step-by-step explanation:
So the height of the triangle (which is 23) is also the base length of the rectangle in the middle because it's a regular hexagon. We want to find the area of the rectangle and the two triangles so:
The rectangle: 13 * 23 = 299
For the triangles, they are congruent so we only have to find the area of one. We know the base of the triangle is 23. The height is half of 1/2(23 - 13) because the height of the rectangle plus the height of the two triangles = 23 so:
13 + 2x = 23
x = 5
The triangle: 1/2(23 * 5) = 1/2(115) = 57.5
Both triangles = 115
The area of the hexagon is 115 + 299 which is: 414
