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.
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.
To determine the scale factor used to enlarge the rectangle in the image, we can compare the corresponding side lengths before and after the enlargement.
In the original rectangle (Box one), the longer side measures 9 inches. In the enlarged rectangle (Box two), the longer side measures 5.4 inches.
To find the scale factor, divide the length of the longer side of the enlarged rectangle by the length of the corresponding side in the original rectangle: 5.4 inches ÷ 9 inches = 0.6.
Therefore, the scale factor used to enlarge the rectangle in the image is 0.6.
To determine the scale factor used to enlarge the rectangle in the image, we need to compare the corresponding side lengths of the original and enlarged rectangles.
Let's label the corresponding side lengths as follows:
Original rectangle:
Length: Box one (9 in.)
Width: Box two (3 in.)
Enlarged rectangle:
Length: 5.4 in.
Width: 5 in.
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 = Length of enlarged rectangle / Length of original rectangle
Scale factor for length = 5.4 in. / 9 in.
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 = Width of enlarged rectangle / Width of original rectangle
Scale factor for width = 5 in. / 3 in.
Therefore, the scale factor used to enlarge the rectangle in the image is:
Scale factor = Scale factor for length = 5.4 in. / 9 in., or approximately 0.6