Answer:
108 cm
Explanation:
You need to figure out the area of both triangles and then add them to the area of the rectangle. The area of the rectangle can be found like:
12x5=60.
Then, you need to find the are of the triangles. We are told the height of the hexagon is 13cm, and that the height of the rectangle is 5cm. So, the area of the height triangles is 13-5cm and to get the height of the original triangles we will do:
13-5=8/2=4.
Next, we need to find the area of the triangles. That is calculated using the formula a=(1/2)bh. The base is 12 cm (same as the bottom rectangle side) and the height, as found in the previous problem is 4cm. So, what we will do is:
a=(1/2)4*12=24.
The area of one triangle is 24, so we will add that to get the triangles combined area, to 48. The total area of the shape comes by adding all the areas of the shaped found inside it.
60+48=108. So the area of the hexagon is 108 cm.