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 ·

Now let's add in our values and solve.
a = 2 · 4 ·

a = 8 ·

a =
4Now since there are 4 of these triangles, and they're all the same size,
4 · 4 =
16All of the triangles put together =
16cm²The 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 =
32The rectangle is
32cm²Now let's add the areas together.
32 + 16 =
48The answer is <span>
48cm²Hope this helped! If you have anymore questions or don't understand, please comment or DM me. :)
</span>
Answer: (a) (
) = (3,2)
(b) (
) = (19,-7)
Step-by-step explanation: Midpoint of a segment is halfway between 2 endpoints. It is calculated using the formulas:


Isolating
:


And
:


(a) Replacing values and calculating
:


Calculating
:
![y_{2}=[2*(-1)]-(-4)](https://tex.z-dn.net/?f=y_%7B2%7D%3D%5B2%2A%28-1%29%5D-%28-4%29)


(b) 


= -7

11x - 3 = 5x + 11
11x - 5x = 11+3
6x = 14
x = 14/6 =7/3
Answer:
3 and 9
Step-by-step explanation:
The factors of 18 can be listed as
1, 2, <u>3</u>, 6, <u>9</u>, 18
The two which sum to 12 are 3 and 9