Se necesita cercar un terreno de forma rectangular con alambre que cuesta $7,20 el metro. Si el terreno tiene 125m² y el largo e
1 answer:
Answer:
La cantidad de cable necesaria es de 47.43 metros.
Step-by-step explanation:
La información dada es;
Longitud, L de la tierra = 2 × Ancho, W de la tierra
Por lo tanto tenemos;
L = 2 × W
El área cubierta por la tierra = 125 m²
Lo que da;
L × W = 125 m² = 2 × W × W = 2 × W²
W² = 125/2 = 62.5
W = √62.5 = = 7,91 metros
La longitud = 2 × ancho = 2 × = 5·√10 metros
La longitud del cable requerido = El perímetro de un rectángulo que forma la cerca = 2 × Ancho + 2 × Longitud del rectángulo
La longitud del cable requerido = 2 × 5·√10 + 2× = 10 · √10 + 5 · √10 = 15 · √10 metros = 47.43 metros.
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