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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 9 units wide, labeled with 15 and 9 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 9 units wide, labeled with 15 and 9 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 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
Remaining Attempts : 3
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1 answer

To convert the dimensions of the rectangle from the original scale (where 1 box = 3 inches) to a new scale (where 1 box = 2 inches), we first need to determine the actual size of the rectangle in inches and then find its new representation in boxes under the new scale.

  1. Original Dimensions:

    • Length: 10 units
    • Width: 6 units

  2. Convert Units to Inches using the original scale:

    • Actual length = 10 units × 3 inches/unit = 30 inches
    • Actual width = 6 units × 3 inches/unit = 18 inches

  3. Convert to the New Scale (1 box = 2 inches):

    • New length in boxes = Actual length / 2 inches = 30 inches / 2 = 15 boxes
    • New width in boxes = Actual width / 2 inches = 18 inches / 2 = 9 boxes

Thus, the dimensions in the new scale drawing will be 15 units long and 9 units wide.

From the responses provided, the correct answer representing the new scale drawing 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. Scale: 1 box = 2 inches.