Use the boxes to answer the question

Box one.

9 in.

5.4 in.

Box two.

9 in.

3 in.

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

The scale factor is calculated by dividing the corresponding side lengths of the enlarged rectangle by the original rectangle.

For the length, the scale factor is given by 9 in. (from box two) divided by 9 in. (from box one) = 1.
For the width, the scale factor is given by 3 in. (from box two) divided by 5.4 in. (from box one) ≈ 0.5556.

Therefore, the scale factor used to enlarge the rectangle in the image is approximately 1 for the length and 0.5556 for the width.