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The length of Adriana’s chicken coop is
3x + 12 feet. The length of her garden is
6x – 16 feet. The garden is the length of
the chicken coop. What are the lengths of
the chicken coop and the garden?
Write your equation and solution. Show your work

Respuesta :

fieryanswererft

Answer:

the length of chicken coop and the garden is of 40 feet.

Explanation:

Given that the garden is the length of the chicken coop, equal length

→ 3x + 12 = 6x – 16

→ 3x - 6x = -16 - 12

→ -3x = -28

→  [tex]x = \frac{-28}{-3}[/tex]

→ [tex]x= 9\frac{1}{3}[/tex]

→ x = 9.33 feet.

  • The garden length = 3(  [tex]\frac{-28}{-3}[/tex]) + 12 → 40 feet
  • the chick coop length should be same as the garden length.

Solution:

Note that:

  • Length of Adriana chicken coop: 3x + 12 feet
  • Length of her garden: 6x - 16 feet
  • 3x + 12 feet = 6x - 16 feet

Solve the equation (3x + 12 feet = 6x - 16 feet) to find the length of the garden and the chicken coop.

  • 3x + 12 feet = 6x - 16 feet
  • => 3x + 12 = 6x - 16
  • => 16 + 12 = 6x - 3x
  • => 28 = 3x
  • => x = 28/3 = 9.3333....

Now, substitute the value of x into the equation to find the length of the garden and the chicken coop.

  • 3(9.33) + 12 = 6(9.33) - 16
  • => 27.99 + 12 = 55.98 - 16
  • => 28 + 12 = 56 - 16 [Rounded]
  • => 40 = 40

The length of the chicken coop and the garden is 40 feet.

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