Length = L
Width = W = 5 + L/4
Perimeter = P = 2L + 2W = 50
P = 2L + 2(5+L/4)
P = 2L + 10 + L/2
P = 4L/2 + 10 + L/2
P = 5L/2 + 10
P = (5/2)L + 10
(5/2)L + 10 = 50
(5/2)L = 40
L = 40 * (2/5)
L = 16
W = 5 + L/4
W = 5 + 16/4
W = 5 + 4
W = 9
Answer: The length is 16 in and the width is 9 in.