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Scale: 1 box = 4 centimeters

Reproduce the scale drawing so that it has a scale of 1 box = 2 centimeters. Which shows the correct new scale drawing?

(1 point)
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Scale: 1 box = 2 centimeters

Image with alt text: A grid is shown with a rectangle drawn on it. The rectangle is 12 units long and 4 units wide, labeled with 12 and 4 respectively. Scale: 1 box = 2 centimeters .

1 answer

To reproduce the original drawing with a scale of 1 box = 4 centimeters to a new scale of 1 box = 2 centimeters, you need to adjust the dimensions of the rectangle accordingly.

Since the new scale is twice as detailed (1 box = 2 cm instead of 4 cm), you will double the size of the original measurements when switching to the new scale.

Original rectangle dimensions:

  • Length: 12 units (equivalent to 12 * 4 cm = 48 cm in actual size in the original scale).
  • Width: 4 units (equivalent to 4 * 4 cm = 16 cm in actual size in the original scale).

In the new scale (1 box = 2 cm):

  • Length in new boxes: 48 cm / 2 cm per box = 24 boxes
  • Width in new boxes: 16 cm / 2 cm per box = 8 boxes

Thus, the new scale drawing should show a rectangle that is:

  • 24 boxes long
  • 8 boxes wide

Make sure the new drawing reflects these measurements on the grid, with a scale of 1 box = 2 centimeters.