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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

User Blow
by
2.7k points

2 Answers

26 votes
26 votes

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.

User Whidy
by
2.8k points
25 votes
25 votes

Answer:

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

Step-by-step explanation:

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

→ 3x + 12 = 6x – 16

→ 3x - 6x = -16 - 12

→ -3x = -28


x = (-28)/(-3)


x= 9(1)/(3)

x = 9.33 feet.

  • The garden length = 3( 
    (-28)/(-3)) + 12 → 40 feet
  • the chick coop length should be same as the garden length.
User Mehdi Maghrouni
by
3.0k points