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Answer:
the width is 17.5 feet and the length is 82.5 feet.
Step-by-step explanation:
The house has a rectangular shape and we know that the length is 5 feet less than 5 times the width.
We will call the width x, thus, the length would be represented as 5x-5 (5 less than 5 times the width).
Since Darrin is going to hang garland around the perimeter of the house, we know that the perimeter is 2 times the length plus two times the width and this equals 200.
Let's write this in algebraic form
Therefore, the width is 17.5 feet.
Now, the length is 5x-5, thus substituting the 17.5 in this equation we have:
feet
Therefore, the width is 17.5 feet and the length is 82.5 feet.