Sorry 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 the width of 8 feet. What will the length be in feet?

1 answer

To create a rectangular dog run space, we need to calculate the length using the given information.

The perimeter of a rectangle is given by the formula: P = 2(l + w), where P is the perimeter, l is the length, and w is the width.

In this case, the perimeter is given as 40 feet, the width is 8 feet, and the length is unknown.

So, we can substitute the given values into the formula: 40 = 2(l + 8).

Now, let's solve the equation for the length (l). We start by simplifying the equation:

40 = 2l + 16.

Subtract 16 from both sides of the equation:

40 - 16 = 2l.

24 = 2l.

Divide both sides of the equation by 2:

24/2 = l.

The length (l) is 12.

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