Question

What is the area of this polygon? 42. 5 units² 41. 5 units² 35. 5 units² 29. 5 units².

Answer 1

Answer:

35.5 units^2

Step-by-step explanation:

Answer 2

The area of the polygon is 35.5 square units. Option C shows the correct area of the given polygon.

What is the area?

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 = $\dfrac { 1}{2} \times EC \times DC$

Area = $\dfrac {1}{2} \times 3\times 4$

Area = 6

In triangle GFD, height = 2, base = 7.

Area = $\dfrac { 1}{2} \times base \times height$

Area = $\dfrac {1}{2} \times 2\times 7$

Area = 7

In triangle GDA, AD = 3, GD = 7.

Area = $\dfrac { 1}{2} \times AD \times GD$

Area = $\dfrac {1}{2} \times 3\times 7$

Area = 10.5

In rectangle ABCD, DC = AB = 4, CB = AD = 3.

Area = $AB\times AD$

Area = $4\times 3$

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.

brainly.com/question/1631786.