Question

A regular hexagon has an apothem of 14.7 inches and a perimeter of 101.8 inches. What is the area of the hexagon?

Answer 1

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

Answer 2

Answer:

748.23

Step-by-step explanation:

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