What is the area of the polygon? Assume that segments that appear congruent are congruent and angles that appear to be right angles are right angles.

1 answer

To find the area of a polygon, we can divide it into triangles and calculate the area of each triangle.

Let's divide the polygon into two triangles by drawing a diagonal from the top vertex to the midpoint of the bottom side.

The first triangle will have a base of 8 units and a height of 5 units. The area of the first triangle is (1/2)*base*height = (1/2)*8*5 = 20 square units.

The second triangle will have a base of 6 units and a height of 5 units. The area of the second triangle is (1/2)*base*height = (1/2)*6*5 = 15 square units.

Therefore, the total area of the polygon is 20 + 15 = 35 square units.