Final Answer:
To find the width of the room, we can use the formula for the area of a rectangle, which is length multiplied by width (A = l * w). In this case, the given area is 512 square feet, and the length is 16 feet. We can set up the equation as follows: 512 = 16 w. To solve for the width (w), we divide both sides of the equation by 16, resulting in w = 32. Therefore, the width of the room is 32 feet.The width of the room is 32 feet.
Step-by-step explanation:
Now, let's delve into the explanation. The formula A = l * w represents the area of a rectangle, where A is the area, l is the length, and w is the width. In this specific scenario, the area of the room is given as 512 square feet, and the length is specified as 16 feet. To determine the width, we rearrange the formula to isolate the variable w. By dividing both sides of the equation by the length (16), we obtain the width of the room, which is 32 feet.
Understanding and applying this formula is essential for calculating the dimensions of rectangular spaces. This approach is widely used in various fields, such as architecture, interior design, and construction, to determine room dimensions based on given areas or vice versa. In this case, the calculation provides a straightforward solution to finding the width of the room given its specified area and length.