Use the image to answer the question.

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)
Responses



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

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



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

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



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

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



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

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

Answer 1

To convert the scale from 1 box = 5 meters to 1 box = 20 meters, we need to adjust the dimensions of the rectangle accordingly.

The original dimensions of the rectangle are:

• Length: 8 units (which equals 40 meters at 1 box = 5 meters)
• Width: 4 units (which equals 20 meters at 1 box = 5 meters)

When changing the scale to 1 box = 20 meters, we need to convert the dimensions:

• For length:

  • 40 meters (original length) / 20 meters per box = 2 units

• For width:

  • 20 meters (original width) / 20 meters per box = 1 unit

Thus, at the new scale of 1 box = 20 meters, the rectangle should be 2 units long and 1 unit wide.

Looking at the responses, the appropriate drawing that reflects these dimensions 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.

This is the correct new scale drawing.