Answer: X = 3
The perimeter of each figure is 12 cm
Explanation:
The question starts by telling you that the perimeters are the same.
So make an equation using the information given.
6(x-1) = 4x
Then solve it.
6x - 6 = 4x Subtract 4x from both sides, and add 6 to both sides.
6x -4x -6 + 6 = 4x-4x + 6 Cancel as necessary -6+6=0 4x-4x=0
2x = 6 .divide both sides by 2
x = 3
To get the perimeters, substitute the value 3 for x in the original expressions:
6(3-1) ==> 6×2= 12 for the hexagon.
4×3 = 12 for the square