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
[tex]\boxed {First \ Rectangle }[/tex] Length = 12 m Width = 4 m Area = 12 × 4 = 48 m²
[tex]\boxed {Second \ Rectangle }[/tex] 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
[tex]\boxed {Third \ Rectangle }[/tex] Length = 13 m Width = 7 m Area = 13 × 7 = 91 m²
Add all areas together now Total Area = 48 m² + 16 m² + 91 m² = 155 m²
[tex]\boxed {Therefore, \ Your \ Answer \ Will \ Be \ Option \ D. \ 155 \ m^2 }[/tex]