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A grid is shown with a rectangle drawn on it. The rectangle is 10 units long and 6 units wide, labeled with 10 and 6 respectively.

Scale: 1 box = 3 inches

Reproduce the scale drawing of a tabletop so that it has a scale of 1 box = 2 inches. Which shows the new scale drawing?

(1 point)
Responses

A grid is shown with a rectangle drawn on it. The rectangle is 15 units long and 6 units wide, labeled with 15 and 6 respectively.

Scale: 1 box = 2 inches

Image with alt text: A grid is shown with a rectangle drawn on it. The rectangle is 15 units long and 6 units wide, labeled with 15 and 6 respectively. Scale: 1 box = 2 inches

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 = 2 inches

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 = 2 inches

A grid is shown with a rectangle drawn on it. The rectangle is 5 units long and 3 units wide, labeled with 5 and 3 respectively.

Scale: 1 box = 2 inches

Image with alt text: A grid is shown with a rectangle drawn on it. The rectangle is 5 units long and 3 units wide, labeled with 5 and 3 respectively. Scale: 1 box = 2 inches

A grid is shown with a rectangle drawn on it. The rectangle is 15 units long and 9 units wide, labeled with 15 and 9 respectively.

5 answers

To determine the correct scale drawing of the rectangle for a new scale of 1 box = 2 inches, we first need to calculate the dimensions of the rectangle based on the original scale of 1 box = 3 inches.

The original dimensions of the rectangle are:

  • Length: 10 units
  • Width: 6 units

In the original scale, the actual dimensions in inches are:

  • Length: 10 units * 3 inches/unit = 30 inches
  • Width: 6 units * 3 inches/unit = 18 inches

Now, we need to calculate the dimensions for the new scale (1 box = 2 inches):

  • Length in units: 30 inches / 2 inches/unit = 15 units
  • Width in units: 18 inches / 2 inches/unit = 9 units

So, the new dimensions for the rectangle, when using the scale of 1 box = 2 inches, should be:

  • Length: 15 units
  • Width: 9 units

Based on this calculation, the correct new scaled drawing would feature a rectangle that is 15 units long and 9 units wide.

Therefore, the correct response is:

  • A grid is shown with a rectangle drawn on it. The rectangle is 15 units long and 9 units wide, labeled with 15 and 9 respectively.
Grid 1 2 3 or 4

The correct scale drawing based on the calculations provided earlier corresponds to the following:

  • A grid is shown with a rectangle drawn on it. The rectangle is 15 units long and 9 units wide.

So, if your options are labeled as Grid 1, Grid 2, Grid 3, and Grid 4, the correct option would be the one that shows a rectangle measuring 15 units long and 9 units wide.

If you are able to provide the labels or descriptions of Grids 1, 2, 3, and 4, I could confirm which specific grid corresponds to that correct answer.

So Grid 4/D?

Yes, if Grid 4 (or option D) shows a rectangle that is 15 units long and 9 units wide, then that is the correct choice based on the calculations we did.

To recap:

  • The original dimensions of the rectangle were scaled from 10 units by 6 units (original scale of 1 box = 3 inches) to 15 units by 9 units in the new scale (1 box = 2 inches).

So you should select Grid 4/D as the correct answer.