Use the image to answer the question.

A grid is shown with a rectangle drawn on it. The rectangle is 8 units long and 6 units wide, labeled with 8 and 6 respectively.

Scale: 1 box = 5 feet

Reproduce the scale drawing of Tomas’s front yard so that it has a scale of 1 box = 10 feet. Which shows the new scale drawing?

(1 point)
Responses

A grid is shown with a rectangle drawn on it. The rectangle is 16 units long and 12 units wide, labeled with 16 and 12 respectively.

Scale: 1 box = 10 feet

Image with alt text: A grid is shown with a rectangle drawn on it. The rectangle is 16 units long and 12 units wide, labeled with 16 and 12 respectively. Scale: 1 box = 10 feet

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 = 10 feet

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 = 10 feet

A grid is shown with a rectangle drawn on it. The rectangle is 4 units long and 3 units wide, labeled with 4 and 3 respectively.

Scale: 1 box = 10 feet

Image with alt text: A grid is shown with a rectangle drawn on it. The rectangle is 4 units long and 3 units wide, labeled with 4 and 3 respectively. Scale: 1 box = 10 feet

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 = 10 feet

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 = 10 feet
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User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
1 hour ago

To determine the correct scale drawing of Tomas’s front yard at a scale of 1 box = 10 feet, we first need to convert the dimensions of the original rectangle, which is 8 units long and 6 units wide at a scale of 1 box = 5 feet, to the new scale.

1. **Calculate the actual dimensions of the rectangle**:
- Length: 8 units × 5 feet/unit = 40 feet
- Width: 6 units × 5 feet/unit = 30 feet

2. **Convert the actual dimensions to the new scale (1 box = 10 feet)**:
- For the length at the new scale:
- 40 feet ÷ 10 feet/unit = 4 units
- For the width at the new scale:
- 30 feet ÷ 10 feet/unit = 3 units

Therefore, the new dimensions for the rectangle at the scale of 1 box = 10 feet should be 4 units long and 3 units wide.

Looking at the responses:

- The correct scale drawing should have dimensions of 4 units long and 3 units wide.

The appropriate response is:
**A grid is shown with a rectangle drawn on it. The rectangle is 4 units long and 3 units wide, labeled with 4 and 3 respectively. Scale: 1 box = 10 feet.**