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salantis [7]
3 years ago
5

Se ha decidido repoblar con 150 000 árboles una zona asolada por un incencio. Se quieren plantar los árboles formando un cuadrad

o con el mismo número de árboles y la misma separación entre ellos. ¿Cuántos árboles se podrán plantar para formar el cuadrado más grande posible?
Mathematics
1 answer:
Dmitrij [34]3 years ago
3 0

Responder :

Se plantarán 149769 árboles

Explicación paso a paso:

Dado que:

Número de árboles a plantar = 150.000

Los árboles deben disponerse para formar un cuadrado;

La cantidad de árboles que se pueden plantar para hacer el cuadrado más grande posible:

Área de un cuadrado = s²

Dónde; s = Longitud de cualquier lado; ya que todos los lados son iguales.

El mayor número de árboles que se pueden plantar es el cuadrado perfecto más alto hasta 150.000.

Esto se puede obtener tomando la raíz cuadrada de 150000

Cuadrado (150.000)

= 387,29833

El cuadrado del número entero da el valor cuadrado perfecto más alto antes de 150 000

Por lo tanto,

s = 387 =; 387

Cantidad total de árboles; s² = 387² = 149769

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