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
![Area=length\times width=12\times 5=60](/tpl/images/0440/2518/7f981.png)
Area of rectangle is
![Area=\frac{1}{2}\times base\times height](/tpl/images/0440/2518/e86a8.png)
![Area=\frac{1}{2}\times 12\times 4=24](/tpl/images/0440/2518/386ec.png)
Area of one triangle 24 cm². So, area of both triangle is
![2\times 24=48](/tpl/images/0440/2518/f1fe0.png)
Area of hexagon = Area of rectangle + Area of both triangles
= ![60+48](/tpl/images/0440/2518/adb89.png)
= ![108](/tpl/images/0440/2518/560ee.png)
Therefore, the area of the hexagon is 108 cm².
![The hexagon is made from a rectangle and two identical triangles.13 cm5 cm12 cmwork out the area of](/tpl/images/0440/2518/762bf.jpg)