The formula of a perimeter of a rectangle l × w:
P = 2l + 2w
We have the perimeter P = 76 cm and the length l = 20 cm. Substitute:
76 = 2(20) + 2w
76 = 40 + 2w   subtract 40 from both sides
36 = 2w   divide both sides by 2
18 = w
Answer: width = 18 cm.