Using a graph paper, plot the points A (6, 4)and B(0, 4).
Find its perimeter.

Answer

To solve the problem of finding the perimeter of the figure formed by the points A(6, 4), B(0, 4), and the axes, we can follow these steps:

### Step 1: Plot the Points
- **Point A (6, 4)**: On the graph paper, locate the x-coordinate 6 and the y-coordinate 4. Mark this point as A.
- **Point B (0, 4)**: Locate the x-coordinate 0 (the origin) and the y-coordinate 4. Mark this point as B.

### Step 2: Identify the Points on the Axes
- **Point C**: From point A (6, 4), draw a vertical line down to the x-axis. This point where the line meets the x-axis is point C (6, 0).
- **Point D**: From point B (0, 4), draw a vertical line down to the x-axis. This point where the line meets the x-axis is point D (0, 0).

### Step 3: Draw the Closed Figure
- Connect points A and B with a horizontal line.
- Connect points A and C with a vertical line.
- Connect points B and D with a vertical line.
- Connect points C and D with a horizontal line.

This creates a closed figure (a rectangle) with vertices at A, B, C, and D.

### Step 4: Calculate the Lengths of the Sides
- **Length AC**: This is the vertical distance from A to C, which is 4 units (from y=4 to y=0).
- **Length AB**: This is the horizontal distance from A to B, which is 6 units (from x=6 to x=0).
- **Length BD**: This is the vertical distance from B to D, which is also 4 units (from y=4 to y=0).
- **Length DC**: This is the horizontal distance from D to C, which is also 6 units (from x=0 to x=6).

### Step 5: Calculate the Perimeter
The perimeter (P) of the rectangle can be calculated using the formula:
\[ P = AB + BC + CD + DA \]
Substituting the lengths we found:
\[ P = 6 + 4 + 6 + 4 = 20 \text{ units} \]

### Final Answer
The perimeter of the figure is **20 units**.

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