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Sloan [31]
3 years ago
7

se quiere pintar una pared en forma de hexágono regular y se sabe que cada lado mide 3m y que su apotema es de 2,8m cual es el a

rea que se va a pintar?​
Mathematics
1 answer:
qwelly [4]3 years ago
5 0

Answer:

El área total a pintar será:

A_{tot}=25.2\: m^{2}

Step-by-step explanation:

Sabiendo el apotema y la longitu de los lados, podemos encontrar el área de un triangulo. Recordemos que, si trazamos rectas del centro del hexágono a los vértices, se formaran 6 triángulos equiláteros.

El área de un triángulo es:

A_{t1}=\frac{b*a}{2}

b es la longitud de la base (b=3 m)

a es la apotema, osea la altura del triangulo (a = 2.8)

A_{t1}=\frac{2.8*3}{2}

A_{t1}=4.2\: m^{2}

Ahora, solo debemos mutiplicar ese valor por 6 para determianr el área total de la pared.

A_{tot}=25.2\: m^{2}

Espero te haya sido util!

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