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GarryVolchara [31]
3 years ago
12

El área de un cuadrado es de 625cm. Averigua cuánto mide el lado y cuánto mide el perímetro del cuadrado

Mathematics
2 answers:
Rzqust [24]3 years ago
4 0

Respuesta:

Largo del lado = 25cm

Perímetro = 100 cm

Explicación paso a paso:

Área de un cuadrado = L²

L es la longitud del lado del cuadrado

Dado

Área del cuadrado = 625sq. cm

625 = L²

L = √625

L = 25

Por lo tanto, el lado mide 25 cm de largo.

Perímetro del cuadrado = 4L

Perímetro del cuadrado = 4 (25)

Perímetro del cuadrado = 100cm

Por lo tanto, el perímetro del cuadrado es de 100 cm.

inessss [21]3 years ago
3 0

Answer:

-El lado mide 25 cm.

-El perímetro del cuadrado mide 100 cm.

Step-by-step explanation:

La fórmula para calcular el área del cuadrado es:

A=a², donde:

a es la longitud de uno de los lados

Ahora, puedes despejar a en esta fórmula para calcular cuánto mide el lado para lo cual debes sacar la raíz cuadrada a ambos lados:

\sqrt{A}=\sqrt{a^2}

a=\sqrt{A}

Ahora puedes reemplazar A con 625 que es el área del cuadrado:

a=\sqrt{625}

a=25

De acuerdo a esto, el lado mide 25 cm.

Después, para calcular el perímetro debes utilizar la siguiente fórmula:

P=4*a, donde a es la longitud del lado

Dado que sabemos que el lado mide 25 cm:

P=4*25

P=100

El perímetro del cuadrado mide 100 cm.

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