The perimeter of a surveillance module in the shape of a regular pentagon is 35 meters. If a worker is commissioned to paint one of its walls, for which he will charge per linear meter, how many meters will he paint?
The perimeter of a regular pentagon is found by multiplying the length of one side by 5. Let's call the length of one side "s".
Perimeter = 5s
We know that the perimeter is 35 meters, so:
35 = 5s
Dividing both sides by 5:
s = 7
So, each side of the pentagon is 7 meters long.
A regular pentagon has 5 walls, so the total length of all walls is:
5s = 5(7) = 35 meters
Therefore, the worker will paint 35 meters of wall.
To find out how many meters the worker will paint, we need to calculate the length of one side of the pentagon.
A regular pentagon has all sides and angles equal, so each side has the same length.
Let's assume that the length of one side of the pentagon is "s" meters.
The perimeter of a pentagon can be calculated by multiplying the length of one side by the number of sides (which is 5 in this case):
Perimeter of pentagon = s * 5
Given that the perimeter is 35 meters, we can write the equation:
35 = s * 5
To find the length of one side, we divide both sides of the equation by 5:
s = 35 / 5
s = 7 meters
Therefore, the length of one side of the pentagon is 7 meters.
Since the worker will paint one wall, which is a side of the pentagon, the number of meters he will paint is equal to the length of one side:
The worker will paint 7 meters.