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 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 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

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

Answer 1

To reproduce the scale drawing of the rectangle with dimensions 8 units long and 6 units wide at a scale of 1 box = 10 feet, we first need to convert the original dimensions (in feet) into the new scale.

1. The original rectangle dimensions are:
- Length = 8 units
- Width = 6 units

2. The original scale is:
- 1 box = 5 feet
- Therefore, the original rectangle in feet is:
- Length = 8 units * 5 feet/unit = 40 feet
- Width = 6 units * 5 feet/unit = 30 feet

3. Now, we want to find the dimensions for the new scale of 1 box = 10 feet:
- For the new scale, the dimensions in boxes will be:
- Length in boxes = 40 feet / 10 feet/box = 4 boxes
- Width in boxes = 30 feet / 10 feet/box = 3 boxes

Consequently, the rectangle should be drawn as:
- Length = 4 units (boxes)
- Width = 3 units (boxes)

Now, looking at the responses provided:
- **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**

This matches our calculations.

The correct response is the one showing a rectangle that is 4 units long and 3 units wide.