Answer:
x = 1
Step-by-step explanation:
Length of the rectangle = x
Width of the rectangle = 2x + 3
Side length of the square = 3x
Perimeter of the rectangle = 2(length + width)
= 2{x + (2x+3)}
= 2(x + 2x + 3)
= 2x + 4x + 6
= 6x + 6
Perimeter of a square = 4 * length
= 4 * 3x
= 12x
If both polygons have the same perimeter
Perimeter of the rectangle = Perimeter of a square
6x + 6 = 12x
6 = 12x - 6x
6 = 6x
x = 6/6
x = 1
