find the area of the polygon
answers: 77, 72, 83, 68 the picture is an H with 5, 5, 12, 12, 3, 3, 6
To find the area of the polygon, we need to divide it into simpler shapes and then calculate their individual areas.
The polygon can be divided into a rectangle and two triangles as follows:
- Rectangle with dimensions 12 x 5
- Triangle with base 6 and height 5
- Triangle with base 6 and height 3
Now, let's calculate the area of each shape:
1. Area of rectangle = 12 x 5 = 60 square units
2. Area of triangle 1 = (1/2) x base x height = (1/2) x 6 x 5 = 15 square units
3. Area of triangle 2 = (1/2) x base x height = (1/2) x 6 x 3 = 9 square units
Total area = 60 + 15 + 9 = 84 square units
Therefore, the correct answer is not in the options provided. The area of the polygon is 84 square units.