What is the area of the polygon? Assume that the segments that appear congruent are congruent and angles that appear to be right angles are right angles. 4,4,12,2,3. (A) 64 square units. (B) 50 square units.(c) 58 square units.(d) 52 square units.
To find the area of the polygon, we can split it into a rectangle and a triangle.
The rectangle has dimensions 12 x 4 = 48 square units.
The triangle has base 3 units and height 2 units, so the area of the triangle is (1/2) x 3 x 2 = 3 square units.
Adding the areas of the rectangle and the triangle, we get 48 + 3 = 51 square units.
Therefore, the closest answer choice is (B) 50 square units.