Respuesta :

smmwaite

Answer

748.23 in²


Explanation

Apothem a line from the centre of a regular polygon at right angles to any of its sides. This can be said to be the height of the triangle in a polygon.

The base of the  hexagon = 101.8 ÷ 6

                                            = 19.96666..

                                            = 19.9667 inches

Area of the  hexagon = 1/2 × height × base length × 6

                                     = 1/2 × 14.7 × 19.9667 × 6

                                      = 748.23 in²

abiolataiwo2015

The area of the hexagon is 748.23 in².

Area of the hexagon

First step is to calculate the  base of the  hexagon

Base= 101.8 ÷ 6

Base= 19.96666

Base=19.9667 inches

Second step is to area of the  hexagon

Since a bisecting regular hexagon is six equal triangle, hence:

Area= 1/2 × Height × Base length × 6

Area= 1/2 × 14.7 × 19.9667 × 6

Area=748.23 in²

Inconclusion the area of the hexagon is 748.23 in².

Learn more about  area of the hexagon here:https://brainly.com/question/2292631

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