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.

GeometryPerimeterRectanglesAlgebraic Equations
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 2l+2w=502l + 2w = 50, where ll is the length and ww is the width. Dividing by 2, we get l+w=25l + w = 25. We can choose various values for ll and ww 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

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