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Datos.
Altura = x
Base = 18 +x
Perimetro = 76cm
Formula.
Perimetro = 2* Base + 2 * Altura
Perimetro = 2(Base + Altura)
76 = 2(x + 18 + x)
76/2 = x + 18 + x
38 = 2x + 18
38 - 18 = 2x
20 = 2x
20/2 = x
10 = x
Altura = x = 10cm
Base = x + 18 = 10 + 18 = 28cm
Respuesta.
La base del rectangulo mide 28cm y su altura 10cm