Question

Questions-PartA what is the perimeter of this hexagon if the side is 15 cm?Part BWhat is the apothem of this hexagon each side is 15 cm round to the nearest whole number?Part CWhat is the area of the hexagon?(I just need a brief explanation with the answer)

Answer 1

Step 1:

The formula for the area of a hexagon can also be given in terms of the apothem as,

Area of hexagon

`=\text{ }(1)/(2)\text{ }a\text{ }*\text{ P}`

where 'a' is the length of the apothem and 'P' is the perimeter of the hexagon.

Step 2:

Length of the sides = 15 cm

`\begin{gathered} \text{perimeter = 6 }*\text{ 15} \\ P\text{ = 90} \end{gathered}`

Step 3:

Find the Apothem ' a '

Find each angle

`\text{Each interior angle = }(360)/(6)\text{ = 60}`

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