Respuesta :

Given

A Hexagon whose height is 7.8 inches and the length of each side is 9 inch.

To determine:

a) How to decompose it into triangles.

b) Area of each triangle.

c) Area of the table.

Explanation:

a) Join the center and each point.

That implies, the number of triangles is 6.

b) The area of the triangle is,

[tex]\begin{gathered} Area\text{ of triangle}=\frac{1}{2}\times9\times7.8 \\ =9\times3.9 \\ =35.1square\text{ inches.} \end{gathered}[/tex]

c) The area of the table is,

[tex]\begin{gathered} Area\text{ of table}=35.1\times6 \\ =210.6square\text{ inches.} \end{gathered}[/tex]

Final result:

a) 6

b) 35.1square inches.

c) 210.6squre inches.