Use the image to answer the question. What is 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 52 square units 52 square units 50 square units 50 square units 64 square units 64 square units 58 square units
1 answer
The area of the polygon can be found by dividing it into a rectangle and two right triangles. The rectangle has dimensions 8 units by 4 units, so its area is 8 * 4 = 32 square units. Each right triangle has a base of 4 units and a height of 4 units, so the area of each triangle is 0.5 * 4 * 4 = 8 square units. The total area of the polygon is the sum of the areas of the rectangle and two triangles, which is 32 + (2 * 8) = 32 + 16 = 48 square units. Therefore, the correct answer is 48 square units.
1 answer