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.
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The original rectangle dimensions are:
- Length = 8 units
- Width = 6 units
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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
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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
- For the new scale, the dimensions in boxes will be:
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.