The length of a rectangle is 4 feet less than 3 times its width. the perimeter of the rectangle is 54 feet. which equation can be used to find the width (w) of the rectangle?

a. 2(4w-3)+2w=54
b. 2(3w-4)+2w=54
c. w(3w-4)=54
d. (3w-4)+2w=54

The equation can be used to find the width () 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 () and width (), both in feet, and to represent the perimeter of the geometric shape (), in feet.

Relationship between length and width

(1)

Perimeter of the rectangle

(2)

By applying (1) in (2), we have the following expression:

The equation can be used to find the width () of the rectangle.

We kindly invite to check this question on rectangles: link

B. 2(3w-4)+2w=54

Step-by-step explanation:

L = 3 W - 4

2L + 2W = 54

2 x (3W - 4) + 2W = 54

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