2
2
2
2.0
4
3.5
4
3
3
T
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6
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)
○ 61.5 square units
O 61 square units
O 62.5 square units
O 50.5 square units
To find the area of the polygon, we need to divide it into smaller shapes and calculate their individual areas before adding them up.
The polygon can be divided into three smaller shapes: two triangles and a rectangle.
First, let's calculate the area of the two triangles:
Triangle 1:
Base = 4 units
Height = 3 units
Area = 0.5 * base * height = 0.5 * 4 * 3 = 6 square units
Triangle 2:
Base = 6 units
Height = 2 units
Area = 0.5 * base * height = 0.5 * 6 * 2 = 6 square units
Now let's calculate the area of the rectangle:
Length = 3 units
Width = 4 units
Area = length * width = 3 * 4 = 12 square units
Total area of the polygon = Area of Triangle 1 + Area of Triangle 2 + Area of Rectangle
Total area = 6 + 6 + 12 = 24 square units
Therefore, the correct answer is not provided in the options.