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gtnhenbr [62]
2 years ago
14

¿Cuál es el perímetro del rectángulo JKLM, con vértices J(-1, 3), K(2, 3), L(2, -5) y M(-1, -5)? Group of answer choices 18 unid

ades 32 unidades 24 unidades 22 unidades Flag this Question
Spanish
1 answer:
ioda2 years ago
8 0

Answer:

El perímetro del rectángulo es 22 unidades.

Explanation:

El perímetro del rectángulo es la suma de las longitudes de los lados del rectángulo, es decir:

p = JK+KL+LM+MJ (1)

Ahora determinamos cada longitud por el Teorema de Pitágoras:

JK = \sqrt{[2-(-1)]^{2}+(3-3)^{2}}

JK = 3

KL = \sqrt{(2-2)^{2}+(-5-3)^{2}}

KL = 8

LM = \sqrt{(-1-2)^{2}+[-5-(-5)]^{2}}

LM = 3

MJ =\sqrt{[-1-(-1)]^{2}+[3-(-5)]^{2}}

MJ = 8

Ahora, el perímetro del rectángulo es:

p = 3 + 8 +3 +8

p = 22

El perímetro del rectángulo es 22 unidades.

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