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.