A regular hexagon has an apothem measuring 14 cm and an approximate perimeter of 96 cm.
2 answers:
Given:
hexagon
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
We can also use the area of a triangle to approximate the area of the hexagon. 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
112 cm² * 6 triangles = 672 cm²
Answer is 672 since that dude didnt just say it
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