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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 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 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 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 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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1 answer

To convert the dimensions of Tomas's front yard rectangle from the original scale (1 box = 5 feet) to a new scale (1 box = 10 feet), we need to first find the actual dimensions in feet and then scale them appropriately.

  1. The original dimensions:

    • Length: 8 units * 5 feet/unit = 40 feet
    • Width: 6 units * 5 feet/unit = 30 feet

  2. Now we convert the dimensions for the new scale (1 box = 10 feet):

    • To find the new length in units:
      • 40 feet ÷ 10 feet/unit = 4 units
    • To find the new width in units:
      • 30 feet ÷ 10 feet/unit = 3 units

So the new dimensions for the scale of 1 box = 10 feet are:

  • Length: 4 units
  • Width: 3 units

The correct 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.