Box 1
9 in.
5.4 in.
Box 2
3 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
Give me a short answer.
The scale factor used to enlarge the rectangle in the image is 3.
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.
For Box 1, the original rectangle has side lengths of 9 inches and 5.4 inches.
For Box 2, the enlarged rectangle has side lengths of 3 inches and 5 inches.
To find the scale factor, we can divide the corresponding side lengths of the enlarged rectangle by the original rectangle.
Side length ratio (length of enlarged rectangle / length of original rectangle):
For the width: 3 inches / 9 inches = 1/3
For the height: 5 inches / 5.4 inches ≈ 0.9259
Therefore, the scale factor used to enlarge the rectangle is approximately 1/3 for the width and 0.9259 for the height.
To find the scale factor used to enlarge the rectangle, we can divide the corresponding sides of the enlarged rectangle by the corresponding sides of the original rectangle.
For the length:
Length of the enlarged rectangle = 9 in.
Length of the original rectangle = 5.4 in.
Scale factor for the length = 9 / 5.4 ≈ 1.67
For the width:
Width of the enlarged rectangle = 3 in.
Width of the original rectangle = 5 in.
Scale factor for the width = 3 / 5 ≈ 0.6
Therefore, the scale factor used to enlarge the rectangle is approximately 1.67 for the length and 0.6 for the width.