Answer:
x = 3
Perimeter = 12 cm
Explanation:
Pre-Solving
We are given that a square and a regular hexagon have the same perimeters.
We know that Psquare = 4x cm and Phexagon = 6(x-1) cm
Since they are the same value, that means that 4x = 6(x-1)
Solving
x value
Distribute 6 to both x and -1.
We get:
4x = 6x - 6
Now, subtract 6x from both sides.
-2x = -6
Divide both sides by -2.
x = 3
Perimeter value
Since the perimeter is the same for both the square and the hexagon, we can use either 4x or 6(x-1) to get the value of the perimeter.
So: 4(3) = 12 cm
The perimeter (for both the square and the hexagon) is 12 cm.