Find the area of the polygon. Assume that segments that appear congruent are congruent and angles that appear to be right angles are right angles
64
52
58
50
To find the area of the polygon, we can break it down into smaller shapes and find the area of each shape separately.
First, let's divide the polygon into two smaller shapes: a rectangle and a triangle.
The rectangle has dimensions 64 and 52:
Area of rectangle = length x width = 64 x 52 = 3328
Now, let's find the area of the triangle.
The height of the triangle is 58 and the base is 50.
Area of triangle = 0.5 x base x height = 0.5 x 50 x 58 = 1450
Therefore, the total area of the polygon is:
3328 (rectangle) + 1450 (triangle) = 4778
So, the area of the polygon is 4778.