Cual es el área de este pentágono?
Cual es el área de este pentágono? Ayuda pliss.
Pregunta de Matemáticas · 2 respuestas · 4 votos · mejor respuesta de TstMartizne
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Solución :
Formula del Área pentágono
A = (perimetro * Apotema) / 2
Datos :
P = 35 cm
Ahora calculamos el apotema
Ap = L / (2 tan (θ))
donde
L = longitud del lado
como calcular θ
θ = 360° / 2 * n
donde
n = numero de lados en este caso
n = 5 ya que es un pentágono
Entonces :
θ = 360° / 2 * 5
θ = 36°
ahora si calculemos el apotema
Ap = 7 / (2 tan (36°))
Ap = 4.
81cm
calculando el área
A = (perimetro * Apotema) / 2
A = (35 * 4.
81) / 2
A = 84.
175cm ^ 2
Espero haberte ayudado.
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