Given:
A regular pentagon with side 14 units and apothem 9.6 units.
To find:
The area round to the nearest tenth.
Solution:
Area of a regular polygon is:
[tex]A=\dfrac{1}{2}Pa[/tex] ...(i)
Where, P is the perimeter and a is the apothem.
The given figure is a regular pentagon with five sides. So, the perimeter of the given figure is the product of number of sides and the side length.
[tex]P=5\times 14[/tex]
[tex]P=70[/tex]
Putting [tex]P=70,a=9.6[/tex], we get
[tex]A=\dfrac{1}{2}(70)(9.6)[/tex]
[tex]A=(35)(9.6)[/tex]
[tex]A=336[/tex]
Therefore, the area of the regular polygon is 336.0 square units.
