GEOMETRY, 2008

Step-by-step Answer
 PAGE: 653 SET: Exercises PROBLEM: 1
Please look in your text book for this problem Statement

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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