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Question about Flat Figures: Sides and Vertices

Mathematics

Originais Teachy

Flat Figures: Sides and Vertices

Medium

(Originais Teachy 2023) - Question Medium of Mathematics

A farmer wants to fence a plot of land to plant different crops in order to optimize his space. However, he notices that the shape of the land is a polygon with 8 sides and 8 vertices. In order to calculate the necessary amount of stakes to fence the land, he needs to correctly identify the type of polygon he has. Considering that he already has 7 stakes positioned at the vertices of the land, he wants to know how many additional stakes are needed to complete the fence. What is the correct classification of the polygon in question and how many additional stakes does the farmer need to completely fence his land, considering that each vertex of the polygon must be connected by a straight line segment of fence?
a.
The polygon in question is an octagon and the farmer needs 9 additional stakes to completely fence his land.
b.
The polygon in question is a hexagon and the farmer needs 9 additional stakes to completely fence his land.
c.
The polygon in question is an octagon and the farmer needs 7 additional stakes to completely fence his land.
d.
The polygon in question is a pentagon and the farmer needs 10 additional stakes to completely fence his land.
e.
The polygon in question is a decagon and the farmer needs 8 additional stakes to completely fence his land.

Answer sheet:

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