Step-by-step explanation:
Let's denote the length of the rectangular dog run as L. We can use the formula for the perimeter of a rectangle to set up an equation based on the given information:
Perimeter (p) = 2L + 2w
Given that the width (w) is 4 meters and the total length of the fencing available is 38 meters, we have:
2L + 2w = 38
Substituting the value of w, we get:
2L + 2(4) = 38
2L + 8 = 38
Now, we can solve for L:
2L = 38 - 8
2L = 30
L = 30 / 2
L = 15
ANSWER:
Therefore, the length of the rectangular dog run is 15 meters.