Question
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 each measure 4. The part of the triangle's base on either side of the rectangular part measures 4.
Find the area of the polygon in square units.
(1 point)
To find the area of the polygon, we need to calculate the area of both the triangle and the rectangle and then add them together.
The area of the rectangle is length x width = 4 x 6 = 24 square units.
The area of the triangle can be calculated using the formula: 1/2 x base x height. Since the base of the triangle is split between the rectangular part and the triangle part, we need to find the total base of the triangle first.
The total base = base of the rectangle (4) + 2 x base of the triangle part (4) = 12.
Now, we can calculate the area of the triangle:
Area of the triangle = 1/2 x base x height = 1/2 x 12 x 6 = 36 square units.
Therefore, the total area of the polygon is: 24 (rectangle) + 36 (triangle) = 60 square units.