Question

Find area of regular hexagon. Please don't give wrong answer.

Answer 1

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