Answer:
![3.6 {m}^(2)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/8uhqahimb7c5gupkcd86b22a2axl4hbow5.png)
Explanation:
The area of a rectangle is length times width.
We divide the polygon into 4 rectangles:
The area of the first rectangle is :
![0.4 * 0.4 = 0.16 {m}^(2)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/v3obhpl8yrx665qngcq1gaindddswgnt9s.png)
The area of the second rectangle is
![2.4 * 0.6 = 1.44 {m}^(2)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/np9937jyofie1yuuu6x5sd5jpd4e3279ag.png)
The area of the 3rd rectangle is
![1.6 * 1 = 1.6 {m}^(2)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/4qt62b29tdiuet762mdtbbqcxhq9q26kfu.png)
The area of the fourth rectangle is
![0.4 * 1 = 0.4 {m}^(2)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/8068hsmngahuxten69rt9lzc2g28j8j98h.png)
Putting all together, the area of the polygon is;
0.16+1.44+1.6+0.4=3.6m²