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Vaselesa [24]
3 years ago
14

1- El area de un cuadrado es igual a 8 veces la medida de su lado ¿ Cuánto mide por lado el cuadrado?​

Mathematics
1 answer:
Papessa [141]3 years ago
3 0
El área de un cuadrado es igual a 8 veces la medida de su lado. ¿Cuánto mide por lado el cuadrado ?

El Area de un Cuadrado es : A = L²

L² = 8 x L -------------> L² / L = 8 ----------> L = 8

Cada lado mide 8 unidades.

2) El triple del área de un cuadrado menos seis veces la medida de su lado es igual a cero ¿Cuánto mide por lado el cuadrado?

El Area de un Cuadrado es : A = L²

(3 x L²) - 6 L = 0

Factorizando : 3L ( L - 2 ) = 0 --------> L = 0 ; L = 2

Cada lado mide 2 unidades.
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Answer:

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Step-by-step explanation:

Do the question algebraically, represented by this equation:

let x be the shorter piece

x + (x + 8) = 26                      (longer piece is 8 units longer)

Remove brackets

x + x + 8 = 26                 Combine like terms              

2x + 8 = 26                   Start isolating "x"

2x + 8 - 8 = 26 - 8           Subtract 8 from both sides

2x = 18

2x/2 = 18/2           Divide both sides by 2

x = 9                    shorter piece

The shorter piece would be 9 inches.

If you needed the longer piece too:

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x + 8

= 9 + 8

= 17

The longer piece would be 17 inches.

Check your answer:

Longer + Shorter = 26           Substitute the lengths

17 + 9 = 26                    Add

26 = 26                same number

LS = RS                left side equals right side

The answer is correct.

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