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b - a = 8
b = 8 + a
El perimetro de un rectangulo se calcula por la formula
P = 2*b + 2*a
Remplazando los datos que tenemos seria
P = 2*b + 2*a
128 = 2*(8+a) + 2a
128 = 16 + 2a + 2a
128 - 16 = 4a
112 = 4a
a = 112/4
a = 28
La altura mide 28 cm
Teniendo la altura calculamos la base
128 = 2*b + 2*28
128 = 2b + 56
128 - 56 = 2b
72 = 2b
b = 72/2
b = 36
La base mide 36 cm