To determine the scale factor used to enlarge the rectangle in the image, we can compare the corresponding sides of the original rectangle and the enlarged rectangle.
The length of the original rectangle (Box one) is 9 inches, and the length of the enlarged rectangle (Box two) is 18 inches. Dividing the length of the enlarged rectangle by the length of the original rectangle gives us:
18 inches / 9 inches = 2
Similarly, we can compare the width of the original rectangle (Box one) and the width of the enlarged rectangle (Box two):
5.4 inches / 3 inches ≈ 1.8
Since the scale factor should be consistent for both the length and the width, we can take the average of these two ratios:
(2 + 1.8) / 2 = 3.8 / 2 ≈ 1.9
Therefore, the scale factor used to enlarge the rectangle in the image is approximately 1.9.
Use the boxes to answer the question
Box two.
Box one.
9 in.
3 in.
5.4 in.
5 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