Natalia's niece, Marita, thinks a regular hexagon would be a lovely shape for a corral, and wonders if it might even
make a larger corral than a square. Find the area of a corral built in the
shape of a regular hexagon with 300 m of fencing. Compare this to the
area of the other corrals you have looked at and revisit your initial
prediction from Part 1.
1. Finding the area of a regular hexagon with a perimeter of 300m:
n = number of sides
What is the value of n for a regular hexagon?
The hexagon can be broken down into congruent
triangles from the center, one is shown in the diagram,
highlighted in yellow.
How many congruent triangles do we have in the
hexagon?
s = side-length
What is the length of each side of the hexagon?
Show your work!
a = apothem length
a
S
2 ton (180)
What is the length of the apothem?
Show your work!
A = bh
2
Where b is the base of the triangle and h is the height
What is the area of the yellow triangle?
Show your work!
What is the area of the whole hexagon?
Show your work!