3in by 5in
9in by 5.4in
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)
first, check to be sure the aspect ratio has not changed.
5/3 = 9/5.4
Now, the magnification factor is 9/5 = 1.8
Apologies for the incorrect previous response. You are correct in checking the aspect ratio to ensure it has not changed.
To determine the scale factor used to enlarge the rectangle in the image, we can compare the corresponding dimensions of the original and enlarged rectangles:
For the length:
Scale factor = (length of enlarged rectangle) / (length of original rectangle)
Scale factor = 9in / 3in = 3
For the width:
Scale factor = (width of enlarged rectangle) / (width of original rectangle)
Scale factor = 5.4in / 5in = 1.08
Since the aspect ratio has not changed, we can focus on the magnification factor, which is the ratio of any one side of the enlarged rectangle to the corresponding side of the original rectangle.
The magnification factor in this case is 9/5 = 1.8.
Therefore, the magnification factor used to enlarge the rectangle in the image is 1.8.
To find the scale factor used to enlarge the rectangle in the image, we need to compare the corresponding sides of the original and enlarged rectangles.
For the original rectangle, we have a length of 3 inches and a width of 5 inches.
For the enlarged rectangle, we have a length of 9 inches and a width of 5.4 inches.
To find the scale factor, we divide the corresponding sides of the enlarged rectangle by the corresponding sides of the original rectangle:
Length scale factor = 9 inches / 3 inches = 3
Width scale factor = 5.4 inches / 5 inches = 1.08
The scale factor is the same for both length and width, and we express it as a decimal. Therefore, the scale factor used to enlarge the rectangle in the image is 3.
To find the scale factor used to enlarge the rectangle in the image, we need to divide the corresponding dimensions of the original and enlarged rectangles.
For the length:
Scale factor = (length of enlarged rectangle) / (length of original rectangle)
Scale factor = 9in / 3in = 3
For the width:
Scale factor = (width of enlarged rectangle) / (width of original rectangle)
Scale factor = 5.4in / 5in = 1.08
Therefore, the scale factor used to enlarge the rectangle in the image is 3 (for the length) and 1.08 (for the width).