Sari is creating a dog run space in her backyard. She has 40 feet of fencing to go around the outside, and she wants to make it rectangular with a width of 8 feet. What will the length be, in feet?(1 point)

feet...........

1 answer

To determine the length of the rectangular dog run, we can use the formula for the perimeter of a rectangle, which is given by:

\[ P = 2 \times (\text{length} + \text{width}) \]

Sari has 40 feet of fencing, so we set the perimeter \(P\) to 40 feet:

\[ 40 = 2 \times (\text{length} + 8) \]

Now, we can divide both sides of the equation by 2:

\[ 20 = \text{length} + 8 \]

Next, we subtract 8 from both sides to solve for the length:

\[ \text{length} = 20 - 8 = 12 \]

Therefore, the length of the dog run will be 12 feet.