The area of the polygon is 35.5 square units. Option C shows the correct area of the given polygon.
<h3>What is the area?</h3>The area can be defined as the amount of space used by a two-dimensional object.
Given that ABEDFG is a polygon. As shown in the attachment, we divided the polygon into 4 different parts.
In triangle EDC, EC = 3, DC = 4.
Area =
Area =
Area = 6
In triangle GFD, height = 2, base = 7.
Area =
Area =
Area = 7
In triangle GDA, AD = 3, GD = 7.
Area =
Area =
Area = 10.5
In rectangle ABCD, DC = AB = 4, CB = AD = 3.
Area =
Area =
Area = 12
The area of the polygon is the sum of all the areas.
Area = 6 + 7 + 10.5 + 12
Area = 35.5 square units.
Hence we can conclude that the area of the polygon is 35.5 square units. Option C shows the correct area of the given polygon.
To know more about the area, follow the link given below.
