41.0k views
4 votes
If the area of each triangular regions is as shown, what is the area of the polygon?

If the area of each triangular regions is as shown, what is the area of the polygon-example-1

2 Answers

4 votes

Answer:

The required area of the polygon in the given figure = 16 units²

Explanation:

From the given figure :

Area of each triangle is given to be 2 units²

We need to find the area of the polygon

Number of triangles contained in the polygon = 8

Therefore, Area of the polygon = No. of triangle × Area of each triangle

⇒ Area of the polygon = 8 × 2

⇒ Area of the polygon = 16 units²

Hence, the area of the polygon in the given figure = 16 units²

Therefore, The option C. 16 is correct

1 vote
For this case, what you must do is add the area of each of the triangles to find the total area of the polygon.
We have then:
A = 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2
A = 16
Equivalently, as the area of each triangle is the same, then:
A = 2 * (8)
A = 16
Answer:
the area of the polygon is:
16
Option 3
User Ircover
by
7.0k points