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aliya0001 [1]
3 years ago
12

Can I have some help finding the area to this? Can someone also explain how to figure this out?? PLEASE

Mathematics
1 answer:
nignag [31]3 years ago
4 0
Let's separate the hexagon into 5 shapes; 2 triangles on each side, and a rectangle in the middle. Now let's find the area of each of the smaller shapes.

Top left triangle:
The equation to find the area of a triangle is
(base = b, height = h, a = area)
a = b · h · \frac{1}{2}
Now let's add in our values and solve.
a = 2 · 4 · \frac{1}{2}
a = 8 · \frac{1}{2}
a = 4

Now since there are 4 of these triangles, and they're all the same size,
4 · 4 = 16
All of the triangles put together = 16cm²

The middle rectangle:
The equation to find the area of a rectangle is simple:
(w = width, l = length, a = area)
a = w · l
Now let's put in our values and solve.
a = 4 · 8
a = 32

The rectangle is 32cm²

Now let's add the areas together. 
32 + 16 = 48

The answer is <span>48cm²

Hope this helped! If you have anymore questions or don't understand, please comment or DM me. :)
</span>
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