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Sagot :
To determine the region where Rajiv can place his seat, we need to represent the conditions graphically on a scaled diagram. We know the following:
The seat must be more than 4 meters from the patio.
The seat must be more than 8 meters from the tree (marked X).
Given that the scale is 1 cm = 2 meters, we can convert these distances to centimeters on the diagram:
4 meters from the patio = 4 meters / 2 meters per cm = 2 cm.
8 meters from the tree = 8 meters / 2 meters per cm = 4 cm.
- Locate the center of the patio and draw a circle with a 2 cm radius around it. This circle represents all points that are 4 meters or less from the patio.
- Locate the tree marked X and draw another circle with a 4 cm radius around it. This circle represents all points that are 8 meters or less from the tree.
- The valid region for placing the seat is outside both circles.
- Label this valid region as "R".
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