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26 July, 08:51

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 15 inches and a height of 18 inches. Calculate the area of the stop sign.

a. 1000 sq. in

b. 1080 sq. in

c. 980 sq. in

d. 1200 sq. in

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Answers (1)
  1. 26 July, 11:25
    0
    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
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