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. The first rectangle has a base length of 5 inches and vertical width of 3 inches. The tilted second rectangle has a length of 9 inches and a width of 5.4 inches.
What scale factor was used to enlarge the rectangle in the image? The measurements refer to inches. Give your answer as a decimal.
(1 point)
To determine the scale factor used to enlarge the rectangle in the image, we can compare the corresponding measurements of the original rectangle and the enlarged rectangle.
The original rectangle has a base length of 5 inches, while the enlarged rectangle has a length of 9 inches. The scale factor for the length can be found by dividing the length of the enlarged rectangle by the length of the original rectangle:
9 inches / 5 inches = 1.8
Therefore, the scale factor for the length is 1.8.
Similarly, the original rectangle has a vertical width of 3 inches, while the enlarged rectangle has a width of 5.4 inches. The scale factor for the width can be found by dividing the width of the enlarged rectangle by the width of the original rectangle:
5.4 inches / 3 inches = 1.8
Therefore, the scale factor for the width is also 1.8.
Since the scale factors for the length and width are the same, we can conclude that the scale factor used to enlarge the rectangle in the image is 1.8 (as a decimal).