Find the area of the following shape? hurr

For this case we have that the figure is composed of a triangle and a trapezoid. Then we find their areas:

Triangle:

Where:

b: It's the base

h: It is the height

According to the figure we have:

Substituting:

Trapezoid:

Where:

Base 1

Base 2

h: It is the height

According to the figure we have:

Substituting:

Finally, the total area is:

8 units^2

Step-by-step explanation:

separate it into 2 figures: a top triangle and a side trapezoid

area of top triangle: 4*2/2=4

area of trapezoid: (1+3)*2/2=4

4+4=8

faster, im not sure why but i know it is faster