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Use the image to answer the question.

An illustration shows two rectangles. The first is horizontally positioned lengthwise and the second is positioned slanting lengthwise to the left.

What scale factor was used to enlarge the rectangle in the image? The measurements refer to inches. Give your answer as a decimal.

1 answer

To determine the scale factor used to enlarge the rectangle, you need to compare the dimensions (length and width) of the original rectangle to those of the enlarged rectangle.

Assuming you have the measurements for both rectangles, you can follow these steps:

  1. Identify the dimensions: Let the original rectangle have dimensions \( L_1 \) (length) and \( W_1 \) (width) and the enlarged rectangle have dimensions \( L_2 \) (length) and \( W_2 \) (width).

  2. Calculate the scale factor: The scale factor can be calculated using the formula: \[ \text{Scale Factor} = \frac{L_2}{L_1} = \frac{W_2}{W_1} \] Make sure both ratios yield the same result.

  3. Convert to decimal: Ensure that your scale factor is expressed as a decimal.

If you provide the specific dimensions, I can help you calculate the exact scale factor.