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?

Answer 1

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.