What is the area of the polygon? Assume that segment that appear congruent are congruent and angles that appear to be right angles are right angles.
50 square units
52 square units
64 square units
58 square units
To find the area of the polygon, we need to divide it into smaller shapes that we can easily calculate the area of. Looking at the polygon, we can see that it is made up of two squares and two right triangles.
The two squares have sides of length 5 and 5, so their area is 5*5 = 25 square units each.
The two right triangles have base of length 3 and height of length 4, so their area is (1/2)*3*4 = 6 square units each.
Therefore, the total area of the polygon is 25 + 25 + 6 + 6 = 62 square units.
So the closest option to the calculated area is 64 square units.