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 find the scale factor used to enlarge the rectangle in the image, we can compare the dimensions of the original rectangle to the dimensions of the enlarged rectangle.
The original rectangle has a length of 5 inches and a width of 3 inches.
The enlarged rectangle has a length of 9 inches and a width of 5.4 inches.
To find the scale factor for the length, we divide the length of the enlarged rectangle by the length of the original rectangle:
Scale factor for length = 9 inches / 5 inches = 1.8
To find the scale factor for the width, we divide the width of the enlarged rectangle by the width of the original rectangle:
Scale factor for width = 5.4 inches / 3 inches ≈ 1.8
Since the scale factors for both the length and width are approximately 1.8, we can conclude that the scale factor used to enlarge the rectangle in the image is 1.8.