Question

Use the image to answer the 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 61.5 square units 61.5 square units 50.5 square units 50.5 square units 62.5 square units 62.5 square units 61 square units 61 square units Skip to navigation

Answer 1

To find the area of the polygon, we first need to divide it into simpler shapes.

Let's divide the polygon into a rectangle, a triangle, and a trapezoid:

1. Rectangle:
Length = 5 units
Width = 6 units
Area = Length x Width = 5 x 6 = 30 square units

2. Triangle:
Base = 5 units
Height = 3 units
Area = 1/2 x Base x Height = 1/2 x 5 x 3 = 7.5 square units

3. Trapezoid:
Bases = 6 units and 9 units
Height = 3 units
Area = 1/2 x (Sum of Bases) x Height = 1/2 x (6 + 9) x 3 = 22.5 square units

Now, add the areas of the rectangle, triangle, and trapezoid:
30 square units (rectangle) + 7.5 square units (triangle) + 22.5 square units (trapezoid) = 60 square units

Therefore, the area of the polygon is 60 square units.