Answer:
The area of the hexagon is 108 cm².
Step-by-step explanation:
Consider the below figure attached with this question.
From the below figure we get
Length of rectangle = 12 cm
width of rectangle = 5 cm
It is given both triangles are identical.
Base of each triangle = 12cm
Height of each triangle = (13-5)/2 = 4 cm
Area of rectangle is
[tex]Area=length\times width=12\times 5=60[/tex]
Area of rectangle is
[tex]Area=\frac{1}{2}\times base\times height[/tex]
[tex]Area=\frac{1}{2}\times 12\times 4=24[/tex]
Area of one triangle 24 cm². So, area of both triangle is
[tex]2\times 24=48[/tex]
Area of hexagon = Area of rectangle + Area of both triangles
= [tex]60+48[/tex]
= [tex]108[/tex]
Therefore, the area of the hexagon is 108 cm².
