Question 595084
l = length of rectangle in centimeters
w = width of rectangle in centimeters

l = 2*w - 4   (The length is 4 cm less than twice its width.)
2*l + 2*w = 64  (The perimeter equals 64 cm. = 2*length + 2*width)

2*(2*w-4) + 2*w = 64
4*w - 8 + 2*w = 64
6*w -8 = 64
6*w - 8 + 8 = 64 + 8
6*w = 72
6*w/6 = 72/6
w = 12
l = 2*12 - 4 = 24 - 4 = 20

check: 2*12 + 2*20 = 24 + 40 = 64

The answers are length = 20 cm. and width = 12 cm.