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Si de una cartulina de 24 cm de largo y 18 cm de altura se corta la meno
cantidad de cuadrados iguaies. ¿cuántos cuadrados se cortaron?

Ask by Warren Stanley. in Argentina
Mar 24,2025

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Se cortaron 12 cuadrados iguales.

Solución

  1. Se busca que los cuadrados sean lo más grandes posibles, por lo que su lado debe ser el máximo común divisor (mcd) de y .
  2. Para hallar el mcd:
    Observamos que es el mayor número que divide a ambos, entonces el lado del cuadrado es cm.
  3. Se calcula la cantidad de cuadrados que se pueden obtener:
    • Número de cuadrados a lo largo:
    • Número de cuadrados a lo ancho:
    • Total de cuadrados:
Por lo tanto, se cortaron cuadrados iguales.

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Extra Insights

Para obtener la menor cantidad de cuadrados idénticos de la cartulina de 24 cm de largo y 18 cm de alto, primero, encontramos el máximo común divisor (MCD) entre las dos dimensiones. El MCD de 24 y 18 es 6. Así que cortamos cuadrados de 6 cm de lado.
Ahora, calculamos cuántos cuadrados se pueden obtener: en el largo hay cuadrados y en la altura hay cuadrados. Así que el total de cuadrados que se pueden cortar es cuadrados. ¡Listo, 12 cuadrados perfectos!

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