Rta: Altura = 12 cm, Base = 36 cm
Sea:
X = Altura
Y = Base
Pero:
Y = 3X
Recordemos que el area de un rectangulo es: (Base x Altura)/2
A = 216 cm²
A = (X)(3X)/2
2A = 3X²
2(216 cm²) = 3X²
432 cm² = 3X²
X² = (432 cm²)/(3)
X² = 144 cm²
X = √(144 cm²)
X = 12 cm
Y = 3(12 cm)
Y = 36 cm
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Rta: Altura = 12 cm, Base = 36 cm
Sea:
X = Altura
Y = Base
Pero:
Y = 3X
Recordemos que el area de un rectangulo es: (Base x Altura)/2
A = 216 cm²
A = (X)(3X)/2
2A = 3X²
2(216 cm²) = 3X²
432 cm² = 3X²
X² = (432 cm²)/(3)
X² = 144 cm²
X = √(144 cm²)
X = 12 cm
Y = 3X
Y = 3(12 cm)
Y = 36 cm