Which shapes should a hexagon be decomposed into to find its area?
http://www.dummies.com/education/math/geometry/how-to-calculate-the-area-of-a-regular-hexagon/
Ms. Sue? How is this suppose to help? I am unsure
Yeah. That link doesn't help at all.
Besides, I know two of them.
six triangles.
one rectangle with two triangles.
To find the area of a hexagon, you can decompose it into different shapes. One such decomposition is to divide it into six equilateral triangles.
Here's how you can do it:
1. Draw a hexagon with all sides and angles congruent (equal).
2. Draw three lines connecting opposite corners of the hexagon, forming three pairs of congruent triangles.
3. Each of these triangles is an equilateral triangle, meaning all three sides are equal in length.
To find the area of each equilateral triangle:
1. Measure the length of one side of the hexagon.
2. Divide the length by two to find the length of each side of the equilateral triangle.
3. Use the formula for the area of an equilateral triangle: (square root of 3) divided by 4, multiplied by the side length squared.
- The formula can also be written as A = (s^2 * sqrt(3)) / 4, where A is the area and s is the length of the side.
4. Multiply the area of one triangle by six to find the total area of the hexagon.
By decomposing the hexagon into six equilateral triangles, you can easily find its total area.