Without actually solving the problem, choose the correct solution by deciding which choice satisfies the given conditions. The length of a rectangle is 3 feet longer than the width. The perimeter is 18 feet. Find the dimensions of the rectangle.
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To understand the relationship between the length and width of the rectangle, let's denote the width as "w" feet. Since the length is 3 feet longer, we can express it as "w + 3" feet. The formula for the perimeter of a rectangle is P = 2(length + width). Plugging in our expressions, we can set up the equation: 2(w + (w + 3)) = 18. When simplified, this will help us identify the values of w and, subsequently, the length. In real-world applications, understanding the dimensions of objects is crucial, such as in construction or design projects. If these dimensions are not calculated correctly, it can lead to material waste or structural issues. Knowing foundational geometry can save time, resources, and potentially, money in project planning, ensuring everything fits just right!