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8 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 is the length of the chicken coop? Enter the number of feet only.
What is the length of the garden? Enter the number of feet only.

Sagot :

jacobEwing

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"

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