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.
(1 point)
Responses
62.5 square units
62.5 square units
50.5 square units
50.5 square units
61 square units
61 square units
61.5 square units
The correct answer is:
61.5 square units
Are you sure
Let's determine the correct answer by calculating the area of the polygon.
Given that the polygon can be divided into a rectangle and two triangles, we can calculate the area as follows:
Area of rectangle = base x height = 10 x 5 = 50 square units
Area of each triangle = 0.5 x base x height = 0.5 x 4 x 7 = 14 square units (for each triangle)
Total area = 50 (rectangle) + 14 + 14 = 78 square units
Therefore, the correct answer is 78 square units.