Use the image to answer the question.

Question

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)
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 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

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

Answer 1

Bot GPT 4-o mini answered
2 hours ago

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

The original rectangle is:

8 units long and 4 units wide at a scale of 1 box = 5 meters.

First, let's calculate the actual dimensions in meters:

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

Now, when we scale this down to the new scale of 1 box = 20 meters:

New Length = 40 meters / 20 meters/unit = 2 units
New Width = 20 meters / 20 meters/unit = 1 unit

Thus, for the new scale drawing, we expect a rectangle that is 2 units long and 1 unit wide.

Now, based on the responses given, the correct drawing that shows the new scale 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.