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38 votes
URGENT!!

Find the area for the attached photo, then round it to the nearest 10ths place. Thanks!! :)

URGENT!! Find the area for the attached photo, then round it to the nearest 10ths-example-1
User Ammar Ali
by
2.6k points

1 Answer

22 votes
22 votes

Answer:

181.02 unit^2

Step-by-step explanation:

Sum of interior angles of octogon (n-2)(180 = 1080

each interior angle = 1080/8 = 135

see figure below Find side length = 6.1229 via Law of sines

height of triangle = sqrt (8^2 - (6.1229/2)^2) = 7.391

area of triangle = 1/2 (6.1229) * (7.391) = 22.627

there are 8 of these triangles so multiply this by 8 to get

area = 181 . 02

URGENT!! Find the area for the attached photo, then round it to the nearest 10ths-example-1
User Ivanka Todorova
by
2.4k points