To convert the original rectangle's dimensions from the scale of 1 box = 3 inches to a new scale of 1 box = 2 inches, we first need to determine the real-life dimensions of the rectangle.
The original rectangle is 10 units long and 6 units wide. Using the original scale:
- Length in inches = 10 units * 3 inches/unit = 30 inches
- Width in inches = 6 units * 3 inches/unit = 18 inches
Now we'll convert these dimensions to the new scale of 1 box = 2 inches. We can find the new dimensions in units for the new scale as follows:
- New length in units = 30 inches / 2 inches/unit = 15 units
- New width in units = 18 inches / 2 inches/unit = 9 units
Thus, the scale drawing of the rectangle in the new scale (1 box = 2 inches) should be 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. Scale: 1 box = 2 inches.
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