The length of a rectangle is 5 meters less than 3 times the width. The perimeter is 54 meters. Find the width.

Perimeter of a rectangle =

P = 2 (L + w)

P = 54

L = 3w - 5

54 = 2 (3w - 5 + w)

(Combine like terms)

54 = 2 (4w - 5)

(Distribute the 2)

54 = 8w - 10

(Add 10 to both sides)

64 = 8w

(Divide 8 from both sides)

W = 8m

(L = 8 (3) - 5 = 19m)