To reproduce the scale drawing of the playground so that it has a scale of 1 box = 20 meters, we first need to convert the dimensions of the original rectangle, which is 8 units long and 4 units wide at a scale of 1 box = 5 meters.
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Calculate the actual dimensions:
- Length: 8 units × 5 meters/unit = 40 meters
- Width: 4 units × 5 meters/unit = 20 meters
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Convert to the new scale of 1 box = 20 meters:
- For a length of 40 meters at a new scale of 20 meters per unit:
- Length in new scale: 40 meters ÷ 20 meters/unit = 2 units
- For a width of 20 meters at a new scale of 20 meters per unit:
- Width in new scale: 20 meters ÷ 20 meters/unit = 1 unit
- For a length of 40 meters at a new scale of 20 meters per unit:
So the new dimensions should be 2 units long and 1 unit wide.
- Identify the correct drawing:
- Look for the drawing with a rectangle that is 2 units long and 1 unit wide.
The correct response is:
A grid is shown with a rectangle drawn on it. The rectangle is 2 units long and 1 unit wide, labeled with 2 and 1 respectively. Scale: 1 box = 20 meters.