Answer:
Rounded down to the nearest foot, the length of the garden is nine feet.
Step-by-step explanation:
We're told that the length of the chicken coop, 3x + 12 feet, is equal to the length of the garden, 6x - 16 feet. Let's put them together then and solve for x:
3x + 12 = 6x - 16
First, we'll subtract 6x from both sides
3x - 6x + 12 = 6x - 6x - 16
-3x + 12 = -16
Now we subtract 12 from both sides:
-3x + 12 - 12 = -16 - 12
-3x = -28
Finally divide both sides by -3
-3x / -3 = -28 / -3
x = 28/3
x = 9 and 1/3
As the question asks for the number of feet only (not inches), the answer is nine feet.
A third of a foot though is four inches, so the more exact answer is nine feet and four inches, or 9'4"
