Answer:
[tex]3.6 {m}^{2} [/tex]
Step-by-step explanation:
The area of a rectangle is length times width.
We divide the polygon into 4 rectangles:
The area of the first rectangle is :
[tex]0.4 \times 0.4 = 0.16 {m}^{2} [/tex]
The area of the second rectangle is
[tex]2.4 \times 0.6 = 1.44 {m}^{2} [/tex]
The area of the 3rd rectangle is
[tex]1.6 \times 1 = 1.6 {m}^{2} [/tex]
The area of the fourth rectangle is
[tex]0.4 \times 1 = 0.4 {m}^{2} [/tex]
Putting all together, the area of the polygon is;
0.16+1.44+1.6+0.4=3.6m²