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A grid is shown with a rectangle drawn on it. The rectangle is 8 units long and 4 units wide, labeled with 8 and 4 respectively.
Scale: 1 box = 5 meters

Reproduce the scale drawing of a playground so that it has a scale of 1 box = 20 meters. Which drawing shows the new scale?

(1 point)
Responses



1.A grid is shown with a rectangle drawn on it. The rectangle is 16 units long and 8 units wide, labeled with 16 and 8 respectively.
Scale: 1 box = 20 meters

1. Image with alt text: A grid is shown with a rectangle drawn on it. The rectangle is 16 units long and 8 units wide, labeled with 16 and 8 respectively. Scale: 1 box = 20 meters



2.A grid is shown with a rectangle drawn on it. The rectangle is 6 units long and 3 units wide, labeled with 6 and 3 respectively.
Scale: 1 box = 20 meters

2. Image with alt text: A grid is shown with a rectangle drawn on it. The rectangle is 6 units long and 3 units wide, labeled with 6 and 3 respectively. Scale: 1 box = 20 meters



3.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

3. Image with alt text: 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



4.A grid is shown with a rectangle drawn on it. The rectangle is 3 units long and 2 units wide, labeled with 3 and 2 respectively.
Scale: 1 box = 20 meters

4. Image with alt text: A grid is shown with a rectangle drawn on it. The rectangle is 3 units long and 2 units wide, labeled with 3 and 2 respectively. Scale: 1 box = 20 meters

1 answer

To find the correct reproduction of the playground scale drawing, we need to adjust the dimensions of the rectangle based on the new scale of 1 box = 20 meters.

  1. The original dimensions of the rectangle are:

    • Length = 8 units (which corresponds to 8 x 5 = 40 meters)
    • Width = 4 units (which corresponds to 4 x 5 = 20 meters)

  2. Now, under the new scale (1 box = 20 meters), we can determine the new dimensions:

    • Length in new scale = 40 meters ÷ 20 meters per box = 2 boxes
    • Width in new scale = 20 meters ÷ 20 meters per box = 1 box

So, the rectangle should be 2 units long and 1 unit wide in the new scale drawing.

Looking at the provided options:

  • Option 3 shows a rectangle that is 2 units long and 1 unit wide.

Therefore, the correct response is 3.