The problem states that Noah has 50 meters of fencing to enclose a rectangular garden. We need to draw some possible diagrams of the garden, labeling the length and width of each rectangle.
2025/4/9
1. Problem Description
The problem states that Noah has 50 meters of fencing to enclose a rectangular garden. We need to draw some possible diagrams of the garden, labeling the length and width of each rectangle.
2. Solution Steps
Since the perimeter of the rectangle is 50 meters, we know that , where is the length and is the width. Dividing by 2, we get . We can choose various values for and that satisfy this equation. We need to draw possible rectangles and label the length and width.
Possible pairs of (length, width) are:
* (1, 24)
* (2, 23)
* (5, 20)
* (10, 15)
* (12, 13)
Diagram 1: A rectangle with length 1 meter and width 24 meters.
Diagram 2: A rectangle with length 2 meters and width 23 meters.
Diagram 3: A rectangle with length 5 meters and width 20 meters.
Diagram 4: A rectangle with length 10 meters and width 15 meters.
Diagram 5: A rectangle with length 12 meters and width 13 meters.
3. Final Answer
The possible diagrams of Noah's garden include rectangles with the following dimensions:
* Length = 1 meter, Width = 24 meters
* Length = 2 meters, Width = 23 meters
* Length = 5 meters, Width = 20 meters
* Length = 10 meters, Width = 15 meters
* Length = 12 meters, Width = 13 meters