# A stop sign is in the shape of a regular octagon. A regular octagon can be created using eight triangles of equal area.One triangle

###### Question:

stop sign.

a. 1400 sq. in

C. 1980 sq. in

b. 1920 sq. in

d. 1700 sq. in

## Answers

1920sq.in

Step-by-step explanation:

The formula for calculating the area of a triangle is A=(b×h)÷2.

If we substitute the numbers in the equation for the pronumerals, the formula becomes A=(20×24)÷2. 20×24=480, so the formula is now 480÷2.

480÷2=240sq. in.

This means that one triangle in a stop sign is equal to 240sqin. But since there is 8 triangles in a stop sign, you multiply it by 8.

240×8=1920sq.in

Meaning that the answer is equal to 1920sq.in.

Hope this helped :)

1080 sq in

Step-by-step explanation:

The area of a regular polygon is half the product of its perimeter and the apothem, the height of a triangle whose base is one edge of the polygon. The octagon has 8 sides that are each 15 inches, so the perimeter is 8·15 in. Here, that means ...

... A = (1/2)Pa = (1/2)(8·15 in)·(18 in) = 1080 in²

[tex]1920 in^2\\[/tex]

Step-by-step explanation

Number of triangle in octagon [tex]= 8\\[/tex]

Area of one triangle [tex]= \frac{1}{2} bh\\= (0.5)(20) (24)\\= 240 in^2\\[/tex]

Area of eight triangle = Area of Octagon

[tex]= 8 * 240 in^2\\= 1920 in^2\\[/tex]

The correct answer is b. [tex]1920(in)^{2}[/tex]

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 ''[tex]b[/tex]'' and height ''[tex]h[/tex]'' we can calculate its area using the following equation :

[tex]area=\frac{(b).(h)}{2}[/tex] (I)

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

[tex]area=\frac{(20in).(24in)}{2}=240(in)^{2}[/tex]

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) ⇒

[tex]area_{StopSign}=8.(240in^{2})=1920(in)^{2}[/tex]

We found out that the correct answer is b. [tex]1920(in)^{2}[/tex]

The answer is 1,920 inches

The third answer (AKA B in this case)

step-by-step explanation:

No he does not because he can only cover 12 square feet from 15 square feet which he will still need 3 more. this is because if 3×5=15 square feet and 15-12=3 which thats the answer