To represent the stretch $AB$ where it is considered as a unit of length and has two further sections with lengths $4$ and $5$ units:

1. Draw a straight line to represent $AB$.
2. Mark a point $A$ at one end and $B$ at the other.
3. Divide $AB$ into two segments:
   • The first segment is of length $4$ units, starting from $A$ to a point $C$.
   • The second segment is of length $5$ units, from $C$ to $B$.

Description of the segments:

• $AC = 4$ units
• $CB = 5$ units
• Total length of $AB = AC + CB = 4 + 5 = 9$ units

I will now generate this diagram for you.import matplotlib.pyplot as plt

Coordinates of the points

points = { "A": 0, "C": 4, # Point dividing the stretch into 4 units "B": 9 # Total length is 9 units }

Create the plot

plt.figure(figsize=(8, 1)) plt.hlines(1, points["A"], points["B"], colors='black', linewidth=2) # Line AB

Mark the points

for label, x in points.items(): plt.plot(x, 1, 'ro') # Points as red circles plt.text(x, 1.1, f'{label}', fontsize=12, ha='center')

Labels for segment lengths

plt.text(2, 1.2, '4 units', fontsize=10, ha='center') plt.text(6.5, 1.2, '5 units', fontsize=10, ha='center')

Formatting the plot

plt.axis('off') plt.title("Stretch AB with Segments of Length 4 and 5 Units", fontsize=12) plt.show() <<ImageDisplayed>>successHere is the representation of the stretch $AB$ divided into segments of $4$ and $5$ units. Let me know if you have any questions or need further adjustments.

5 Related Questions:

1. How do you calculate the total length of a line segment divided into parts?
2. Can the segments' lengths be represented on a coordinate plane?
3. What happens if one segment's length changes? How does it affect $AB$?
4. How can such segment divisions be used in geometry problems?
5. Can we calculate the ratio of segment lengths in this example?

Tip:

When dividing a line into segments, always ensure the sum of segment lengths equals the total length of the line.