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2 years ago

Planteamiento algebraico

Mathematics

1 answer:

salantis [7]2 years ago

8 0

Considerando la definición de una ecuación, la expresión que representa esta situación es x(x+5)= 100.

<h3>Definición de ecuación</h3>

Una ecuación es la igualdad existente entre dos expresiones algebraicas conectadas a través del signo de igualdad en la que figuran uno o varios valores desconocidos, llamadas incógnitas, además de ciertos datos conocidos.

Los miembros de una ecuación son cada una de las expresiones que aparecen a ambos lados del signo igual.

<h3>Expresión del área del jardín rectangular</h3>

En este caso, se sabe que el área del jardín rectangular es 100 m² y que uno de sus lados es de 5 m mayor que el otro. Esto puede ser expresado mediante una ecuación, donde consideras que "x" es la incógnita, que representa la medida de uno de los lados del jardín.

Por otro lado, el área de un rectángulo se calcula a partir de los dos lados diferentes (a y b). Es el producto de los dos lados contiguos del rectángulo, esto es, el producto entre el lado mayor por lado menor.

Entonces:

Lado del jardín rectangular: x
Lado 5 m mayor: x + 5
Área del jardín rectangular: 100 m²

Entonces, la ecuación queda expresada como:

x(x+5)= 100

En resumen, la expresión que representa esta situación es x(x+5)= 100.

Aprende más sobre ecuaciones con estos ejemplos:

brainly.com/question/24581345

brainly.com/question/24585838?referrer=searchResults

brainly.com/question/24603998

brainly.com/question/22694378?referrer=searchResults

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Answer in fraction form: $\fbox {2/9}$
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