Question

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 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

Answer 1

1920sq.in

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 :)