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GalinKa [24]
3 years ago
12

1.si un terreno de forma rectangular tiene un perímetro de 900 metros lineales,, y además el largo del terreno tiene 50 metros m

ás que el ancho¿ como podemos representar el área del terreno si el área es producto de los lados?
Spanish
1 answer:
gtnhenbr [62]3 years ago
6 0

Answer:

área = 50000 m²

Explanation:

Consideración:

La formula del perímetro de un rectángulo es:

p = 2(ancho + largo)

Planteamiento:

900 = 2(a+b)

b = a + 50

a = ancho del terreno

b = largo del terreno

Desarrollo:

sustituyendo el valor de la segunda ecuación del planteamiento en la primer ecuación del planteamiento:

900 = 2(a+(a+50))

900/2 = (2a+50)

450 -50 = 2a

400 = 2a

a = 400/2

a = 200

b = a + 50

b = 200 + 50

b = 250

La formula del área del terreno de forma rectangular es:

área = ancho*largo

área = 200*250

área = 50000 metros cuadrados = 50000m²

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