To calculate the area of the T-shaped polygon with the given dimensions, we will break the shape into recognizable components.
Given the dimensions:
- The vertical segment of the “T”: 12 units long
- The horizontal segment: appears to have lengths of 2 units on each side of the vertical segment (4 units total width)
- The base of the vertical segment appears to be the same width as the connecting part of the T which is also 4 units
To find the area:
-
The vertical rectangle (vertical part of the T):
- Height = 12 units
- Width = 4 units
- Area = Height × Width = 12 × 4 = 48 square units
-
The horizontal rectangle (the horizontal part of the T):
- Height = 4 units
- Width = 2 units
- Area = Height × Width = 4 × 4 = 16 square units
Now we can add both areas:
- Total Area = Area of vertical rectangle + Area of horizontal rectangle = 48 + 16 = 64 square units.
Thus, the area of the polygon is 64 square units.