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 = 20 meters



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




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




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




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

Answer 1

To determine the correct drawing for a rectangle that has a scale of 1 box = 20 meters, we first need to convert the dimensions of the original rectangle, which is 8 units long and 4 units wide under a scale of 1 box = 5 meters.

1. **Find the actual dimensions in meters**:
- Length: 8 units * 5 meters/unit = 40 meters
- Width: 4 units * 5 meters/unit = 20 meters

2. **Convert these dimensions for the new scale (1 box = 20 meters)**:
- Length in boxes: 40 meters / 20 meters/box = 2 boxes
- Width in boxes: 20 meters / 20 meters/box = 1 box

So, under the new scale of 1 box = 20 meters, the rectangle should measure 2 units long and 1 unit wide.

Now, looking at the provided options, the drawing that matches this measurement is:

- **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.

This is the correct option.