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 answer

To find the total area of the polygon, we need to find the area of the triangle and the rectangle separately, and then add them together.

Area of triangle = (base x height) / 2
= (4+4) x 6 / 2
= 8 x 6 / 2
= 48 / 2
= 24 square units

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

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

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