Answer:
10
Step-by-step explanation:
For my explanation I'll be referring to points labeled in the attached image.
Remember the formula for a triangle is:
[tex]A=\frac{bh}{2}[/tex]
Where A is your area, b is your base, and h is your height.
Lets solve for the area of ABC
[tex]A=\frac{2*4}{2}\\A=\frac{8}{2}\\ A=4[/tex]
Now lets solve for BGF
[tex]A=\frac{1*2}{2}\\ A=\frac{2}{2} \\A=1[/tex]
FHE has the same base and height as BGF, therefore its area is also 1.
Now solve for the square CDGH
[tex]A=2*2\\A=4[/tex]
Now find the sum of all areas
[tex]A=4+1+1+4\\A=10[/tex]
