Final answer:
To find the dimensions of a tennis court with a perimeter of 228 feet, we can use the formula P = 2l + 2w. Without additional specifics, exact dimensions cannot be determined, but with the assumption of a standard court, calculations would yield a length of 78 feet and a width of 36 feet.
Step-by-step explanation:
The perimeter of a rectangle is given by the formula P = 2l + 2w, where P is the perimeter, l is the length, and w is the width. With a given perimeter of 228 feet for a tennis court, we can set up an equation to solve for the court's dimensions assuming it is rectangular. Let's say the length is l and the width is w. The equation would then be 228 = 2l + 2w.
We don't have enough information to solve for the exact dimensions without additional constraints or information, such as the aspect ratio of the court. However, if we were to assume the standard dimensions of a tennis court, the length would be 78 feet, and we could solve for the width using the given perimeter. Here's how we could set up the equation: 228 = 2(78) + 2w, which simplifies to 228 = 156 + 2w. Subtracting 156 from both sides gives us 72 = 2w, or w = 36 feet. So the dimensions would be 78 feet by 36 feet for a standard tennis court.