Area of Polygons Practice

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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)

First, let's find the area of the triangle:

Area of triangle = 1/2 * base * height
Area of triangle = 1/2 * (4+4) * 6
Area of triangle = 1/2 * 8 * 6
Area of triangle = 24 square units

Next, let's find the area of the rectangle:

Area of rectangle = length * width
Area of rectangle = 4 * 6
Area of rectangle = 24 square units

Now, add the areas of the triangle and rectangle together to find the total area of the polygon:

Total area = area of triangle + area of rectangle
Total area = 24 + 24
Total area = 48 square units

Therefore, the area of the polygon is 48 square units.