Final answer:
To find the dimensions of the kennel, set up the equation: 2L + W = 16. Choose a value for either L or W and solve for the other variable. In this case, the dimensions of the kennel are 6 ft by 4 ft.
Step-by-step explanation:
To find the dimensions of the kennel, we can set up an equation using the given information. Let the length of the kennel be L and the width be W. Since the side against the house does not need a fence, we have L + W + L = 25. We also know that the side against the house is 9 ft long, so L + W + L = 25 can be rewritten as L + W + 9 + L = 25. Simplifying this equation, we get 2L + W = 16.
We can choose any value for L or W and solve for the other variable. Let's choose L = 6. Substituting this into the equation, we get 2(6) + W = 16, which simplifies to 12 + W = 16. Solving for W, we find that W = 4. Therefore, the dimensions of the kennel are 6 ft by 4 ft.