Respuesta :
The area of the hexagon is the sum of triangles in it. Then the area of the hexagon is 672 square cm.
What is Geometry?
It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
A regular hexagon has an apothem measuring 14 cm and an approximate perimeter of 96 cm.
We know that the area of the hexagon is the sum of triangles in it.
Area of hexagon = 6 × area of a triangle
The length of a side of the hexagon will be
6 × Side = 96
Side = 16
The area of the triangle will be
[tex]\rm Area \ of \ triangle = \dfrac{1}{2} *14*16\\ \\Area \ of \ triangle = 112 \ cm^2[/tex]
Then the area of the hexagon will be
Area of hexagon = 6 × 112
Area of hexagon = 672
The area of the hexagon is 672 square cm.
More about the geometry link is given below.
https://brainly.com/question/7558603
