Step-by-step explanation:
Given that,
Total length of the fence is 26 feet
The side of the house that does not need a fence is 9 feet long.
We need to find the missing length of the kenel.
26 feet is the perimeter of the kennel. Perimeter is the sum of all sides of a rectangle.
P = l+b+l+b
P=2b+l (because side of the kennel against the house does not need a fence
So,
26=2b+9
2b=17
⇒ b = 8.5 feet
l = 9 feet
So, the missing length of the kennel is 9 feet.