Answer:
x = [tex]\frac{4}{3}[/tex]
Step-by-step explanation:
Rectangle:
Length = 3x feet
Width = 4 feet
Perimeter = 2*(length +width)
= 2* (3x + 4)
= 2*3x + 2*4
= 6x + 8
Area = length * width
= 3x * 4
= 12x
Area of rectangle = perimeter of rectangle
12x = 6x + 8 {Subtract 6x form both sides}
12x - 6x = 8
6x = 8 {Divide both sides by 6}
x = 8/6
x = [tex]\frac{4}{3}[/tex] feet
