Area of a compound figure
A compound figure can generally be divided into smaller figures and its area is the sum of all the smaller areas.
The image provided can be divided into a triangle and a rectangle (see image below):
The total area is the sum of the area of the triangle and the area of the rectangle.
[tex]A_t=\frac{B\cdot H}{2}[/tex]
Where B=20 is the base of the triangle and H=10, thus:
[tex]A_t=\frac{20\cdot10}{2}=100[/tex]
The area of the rectangle is
Ar = W*L, where W=20, L=40
Ar = 20*40 = 800
The total area is 100 + 800 = 900
Total area= 900
