Lets get started :)
We know that we can break this big polygon into smaller ones ( 3 rectangles ) for ease and then add all areas together in order to find the area of total polygon
We also know the area formula of a rectangle
Area = length × width ![\boxed {First \ Rectangle }](https://img.qammunity.org/2019/formulas/mathematics/college/5mjuoa1l0hgym19o9yse5si8jtkszyzf8o.png)
Length = 12 m
Width = 4 m
Area = 12 × 4 = 48 m²![\boxed {Second \ Rectangle }](https://img.qammunity.org/2019/formulas/mathematics/college/45vsorsfb1s9sxysrbfmfp6mjbedq7sr4k.png)
Length = 8 m
Width = The length of the other rectangle is 12 m, the second rectangle cuts in between and let us label the unknown as x
12 = 6 + 4 + x
12 = 10 + x
2 = x
Area = 8 × 2 = 16 m²![\boxed {Third \ Rectangle }](https://img.qammunity.org/2019/formulas/mathematics/college/448gfih9pab0pf41fjop63fnad6wlvbx4m.png)
Length = 13 m
Width = 7 m
Area = 13 × 7 = 91 m²Add all areas together now
Total Area = 48 m² + 16 m² + 91 m²
= 155 m²
![\boxed {Therefore, \ Your \ Answer \ Will \ Be \ Option \ D. \ 155 \ m^2 }](https://img.qammunity.org/2019/formulas/mathematics/college/j1s1f0kdlucf9y0d54yrzw30m74j9ts23f.png)