Beehives are made of walls, each of the same size, enclosing small hexagonal cells where honey and pollen is stored, and bees are raised. Below is the picture of some cells: Suppose the perimeter of a single regular hexagon is 30 units, what must be its side length? a. 6 units O b. 7 units c. 8 units O d. 5 units
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Answer:
The perimeter of a regular hexagon is equal to the sum of the lengths of its six sides. In this case, the perimeter is given as 30 units.
Let's assume the side length of the hexagon is "x" units. Since all sides of a regular hexagon are equal in length, we can express the perimeter in terms of the side length as follows:
6x = 30
To find the value of "x," we can divide both sides of the equation by 6:
x = 30/6
Simplifying the equation, we get:
x = 5
Therefore, the side length of the regular hexagon must be 5 units.
So, the correct answer is option (d) 5 units.