Use the image to answer the question.

An illustration shows the outline of a rightward facing arrow head. The perpendicular height of the triangular part is 6. The sides of the rectangular part is 2 fours on each side .
Find the area of the polygon in square units.

1 answer

To find the total area of the polygon, we need to calculate the area of the triangular part and the rectangular part separately, and then add them together.

Area of the triangular part:
Using the formula for the area of a triangle, we have:
Area = 1/2 * base * height
Area = 1/2 * 2 * 6
Area = 1/2 * 12
Area = 6 square units

Area of the rectangular part:
The sides of the rectangle are 2 units and 4 units. The area of a rectangle is calculated as:
Area = length * width
Area = 2 * 4
Area = 8 square units

Total area of the polygon:
Adding the areas of the triangular part and the rectangular part together:
Total area = 6 + 8
Total area = 14 square units

Therefore, the total area of the polygon is 14 square units.
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