Answer:
The answer to your question is:
x = 1
Square's perimeter = 12
Rectangle perimeter = 12
The value of x is one and the perimeter of the square and the rectangle is the same.
Step-by-step explanation:
Data
Side of Square = 4x - 1
Length of rectangle = 2x + 1
Width = x + 2
Perimeters are the same
Process
Square perimeter = 4(4x - 1)
Rectangle's perimeter = 2(2x + 1) + 2(x+ 2)
Then
4(4x - 1) = 2(2x + 1) + 2(x+ 2) Equation
16x - 4 = 4x + 2 + 2x + 4
16x - 4 = 6x + 6
16x - 6x = 6 + 4
10x = 10
x = 10 / 10
x = 1
Perimeter of the square = 4(4(1) - 1)
= 4(3)
= 12
Perimeter of the rectangle = 2(2(1) + 1) + 2((1)+ 2)
= 2(3) + 2(3)
= 6 + 6
= 12
