Astop sign is in the shape of a regular octagon. a regular octagon can be created using eight triangles of equal area. one triangle that makes up the stop sign has a base of 20 inches and a height of 24 inches. calculate the area of the stop sign

a. 1400 sq. in

c. 1980 sq. in

b. 1920 sq. in

d. 1700 sq. in

The correct answer is b.

Step-by-step explanation:

We know that the stop sign is in the shape of a regular octagon. Also, a regular octagon can be created using eight triangles of equal area.

We have the dimensions of one of this triangles. One triangle has a base of 20 inches and a height of 24 inches.

Wherever we have a triangle of base '''' and height '''' we can calculate its area using the following equation :

 (I)

The area of one of this triangles using the equation (I) is :

To obtain the area of the stop sign we need to multiply the area of one single triangle by 8 (because a regular octagon can be created using eight triangles of equal area) ⇒

We found out that the correct answer is b.

The correct answer is b.

Step-by-step explanation:

We know that the stop sign is in the shape of a regular octagon. Also, a regular octagon can be created using eight triangles of equal area.

We have the dimensions of one of this triangles. One triangle has a base of 20 inches and a height of 24 inches.

Wherever we have a triangle of base '''' and height '''' we can calculate its area using the following equation :

 (I)

The area of one of this triangles using the equation (I) is :

To obtain the area of the stop sign we need to multiply the area of one single triangle by 8 (because a regular octagon can be created using eight triangles of equal area) ⇒

We found out that the correct answer is b.

126 maybe. sorry