asked 60.3k views
8 votes
HELP ASAP I GIVE BIG BRAIN AND 25plus 25 if u get big brain

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

asked
User Mirac
by
7.2k points

2 Answers

12 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.

answered
User Acccumulation
by
8.6k points
1 vote

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.
answered
User Garu
by
7.8k points
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