you are planning a rectangular dining pavilion. its length is three times its width. you want a stone walkway that is 3 ft wide around the walkway. what should the dimensions of the pavilion be?
you want a stone walkway that is 3 ft wide around the walkway.this part doesnt make since.
To determine the dimensions of the rectangular dining pavilion, we can follow these steps:
1. Assign a variable to represent the width of the pavilion. Let's call it "w".
2. According to the problem, the length of the pavilion is three times its width. Therefore, the length would be 3w.
3. To accommodate a stone walkway that is 3 ft wide around the pavilion, we need to add an additional 3 ft to both the length and width. So, the new width would be w + 3 ft, and the new length would be 3w + 3 ft.
4. The overall dimensions of the pavilion (including the stone walkway) would be the sum of both the width and the length, which gives us: (w + 3 ft) + (3w + 3 ft).
Thus, the dimensions of the pavilion, including the stone walkway, would be (w + 3 ft) by (3w + 3 ft).