Final answer:
The width of the garden on the scale drawing is 520 centimeters.
Step-by-step explanation:
To find the width of the garden on the scale drawing, we need to use the given scale of 2 cm = 2 1/2 m.
First, we'll convert the width of the garden to centimeters by multiplying 6 1/2 meters by 100 (since there are 100 centimeters in a meter).
This gives us 650 centimeters.
Now, we can use the scale to find the width on the scale drawing.
Since 2 cm on the scale represents 2 1/2 m, we can set up a proportion: 2 cm / 2 1/2 m = x cm / 650 cm.
Cross-multiplying and solving for x, we find that x = (2 cm * 650 cm) / (2 1/2 m) = 520 cm.
Therefore, the width of the garden on the scale drawing is 520 centimeters.