The formula of a perimeter of a rectangle: P = 2(w + l)
w - width, l - length
We have:
P = 24cm and l = (w + 3)cm
Substitute:
24 = 2(w + w + 3)
24 = 2(2w + 3) |use distributive property
24 = (2)(2w) + (2)(3)
24 = 4w + 6 |subtract 6 from both sides
18 = 4w |divide both sides by 4
w = 18/4
w = 9/2
w = 4.5 cm
l = 4.5 + 3 = 7.5cm
Answer: b. 4.5 cm, 7.5 cm.