Question

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

Answer 1

Are you sure

Answer 2

The correct answer is:

61.5 square units

Answer 3

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.