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what is the area of this regular polygon?



A.311.15 m2

B.
622.3 m2

C.
3034.5 m2

D.
6069 m2

What Is The Area Of This Regular Polygon A31115 M2 B 6223 M2 C 30345 M2 D 6069 M2 class=

Sagot :

the right answer is C.  what you have been given is base length and height for the seven triangles included in this geometric shape as you can see there are seven sides, and thus seven triangles in the entire heptagon. the formula will be: (base(height)/2)(7)= the area of the heptAGON.  Area=the area of each of the triangles within the heptagon. since they all have the same dimensions, your equation will be (30*28.9/2)*7
In this shape you can form a triangle with a height of 30 and a base of 28.9
Area for this triangle would be A=(1/2)(28.9)(30) which is 433.5

Since this shape has 7 sides you can make 7 of these same triangles so you will have 7 triangles with the same area of 433.5

so take 433.5*7 to get 3034.5 which is answer "C"
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