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X
Tree
Scale: 1 cm = 2 metres
Patio
Rajiv wants to put a seat in his garden.
He wants the seat to be:
more than 4 metres from the patio,
more than 8 metres from the tree (marked X).
Show clearly on the diagram the region where Rajiv can put his seat.
Label the region R.
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Answer :

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.

  1. 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.
  2. 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.
  3. The valid region for placing the seat is outside both circles.
  4. Label this valid region as "R".

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