Answer:
B. 2(3w-4)+2w=54
Step-by-step explanation:
L = 3 W - 4
2L + 2W = 54
2 x (3W - 4) + 2W = 54
The equation [tex]2\cdot (3\cdot w - 4) +2\cdot w = 54[/tex] can be used to find the width ([tex]w[/tex]) of the rectangle. (Correct choice: B)
After reading the statement of this question, we construct all the equations both to represent the relationship between length ([tex]l[/tex]) and width ([tex]w[/tex]), both in feet, and to represent the perimeter of the geometric shape ([tex]p[/tex]), in feet.
Relationship between length and width
[tex]l = 3\cdot w - 4[/tex] (1)
Perimeter of the rectangle
[tex]p = 2\cdot (l+w)[/tex] (2)
By applying (1) in (2), we have the following expression:
[tex]2\cdot (3\cdot w - 4) +2\cdot w = 54[/tex]
The equation [tex]2\cdot (3\cdot w - 4) +2\cdot w = 54[/tex] can be used to find the width ([tex]w[/tex]) of the rectangle.
We kindly invite to check this question on rectangles: https://brainly.com/question/20794421
