A regular hexagon has an apothem measuring 14 cm and an approximate perimeter of 96 cm. a regular hexagon has an apothem with le

Question

8 months ago

9

ngth 14 centimeters and a perimeter of 96 centimeters. what is the approximate area of the hexagon?

1 answer:

taurus [48] · Answer 1 · 2024-03-04T15:13:54+03:00

The approximate area of the hexagon = 672 cm²

What is hexagon ?

In geometry, hexagon is a polygon with 6 sides.
If the lengths of all the sides and the measurement of all the angles are equal, such hexagon is called a regular hexagon.
In other words, sides of a regular hexagon are congruent.

apothem of the hexagon = 14 cm

perimeter of the hexagon = 96 cm

Area of the hexagon = [(3√3) / 2] a² ; where a is the measure of the side

hexagon has 6 sides.

Perimeter = 6a

96 cm = 6a

96 cm / 6 = a

16 = a

There are 6 triangles in the hexagon .

Area of a triangle = (height * base) / 2

A = (14 cm * 16 cm) / 2

A = 224 / 2

A = 112 cm²

The approximate area of the hexagon = 112 cm² * 6 triangles = 672 cm²

Learn more about hexagon .

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