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GarryVolchara [31]
3 years ago
13

Find the area of the regular polygon. Round your answer to the nearest hundredth.

Mathematics
2 answers:
mario62 [17]3 years ago
8 0
The area is 289.22 units squared
Inga [223]3 years ago
7 0

Answer:

area = 289.24 units²

Step-by-step explanation:

divide the polygon into 9 equal triangles

the top angle of a triangle will be 360°/9 = 40°

the sides of a triangles are both 10 units

The base of a triangle is 6.84 units

the height of a triangle is:

cos 20° = height/10

0.9397 = height/10

height = 9.4 units

The area of a triangle = 1/2(6.84)(9.4) = 32.13 units²

the polygon is made from 9 of these triangles, so 9 x 32.13 = 289.24 units²

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