Use the image to answer the question.



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)

1 answer

To reproduce the scale drawing of the rectangle to a new scale of 1 box = 20 meters, we first need to determine the dimensions in the new scale based on the original dimensions of the rectangle.

The original rectangle is 8 units long and 4 units wide. Each unit in the original scale corresponds to 5 meters, so we can calculate the actual dimensions in meters:

  • Length: 8 units * 5 meters/unit = 40 meters
  • Width: 4 units * 5 meters/unit = 20 meters

Now, we need to convert these dimensions to the new scale of 1 box = 20 meters:

  • New length: 40 meters / 20 meters/box = 2 boxes
  • New width: 20 meters / 20 meters/box = 1 box

So, in the new drawing with the scale of 1 box = 20 meters, the rectangle should be represented as 2 boxes long and 1 box wide.

You would need to visually look at the options provided for the drawings and identify the one that shows a rectangle that is 2 boxes long and 1 box wide to find the correct answer.