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| PAGE: 653 | SET: Exercises | PROBLEM: 1 |
To find the area(A) of the hexagon,you must find the apothem.
Apothem: The central angles of a regular hexagon areall congruent. Therefore,
the measure of each angle is 
.
Let GH is an apothem of hexagon ABCDEF. It bisects ∠DGH and is a perpendicular
bisector of ED. So, m∠DGH = 
.
Since the perimeter(P) is 42 yards, each side is 7 yards and HD = 3.5 yards.
Write a trigonometric ratio to find the length of GH.
(
)
(Substitute 
)
(Use a calculator 
)
(Simplify)
Area:
Area of hexagon 
Where P is perimeter and a is apothem.
(Area of regular hexagon)
(Substitute 
)
(Multiply: 
)
(Divide: 
)
The value of area of hexagon 
square yards.
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