Question

Use the image to answer the question.
Rectangle one side is 3 inches and 5 inches the other side.
Rectangle two is 9 inches one side and 5.4 inches the other side.
What scale factor was used to enlarge the rectangle in the image? The measurements refer to inches. Give your answer as a decimal

Answer 1

To find the scale factor, we can compare the corresponding sides of the original rectangle and the enlarged rectangle in the image.

For rectangle one:
Original side lengths: 3 inches and 5 inches
Enlarged side lengths: 9 inches and 5.4 inches

To find the scale factor, we can divide the corresponding side lengths of the enlarged rectangle by the original rectangle.

For the first side:
9 inches / 3 inches = 3

For the second side:
5.4 inches / 5 inches = 1.08

The scale factor for the enlargement of the rectangle in the image is approximately 3.08 (or 3.1 rounded to one decimal place).