Final answer:
By comparing the corresponding sides of the rectangles and determining that the scale factors 11/2 and 37/7 are not equal, it is concluded that the two rectangles are not scaled versions of each other.
Step-by-step explanation:
To determine if two rectangles are scaled versions of each other, their sides must be in proportion.
For the first rectangle measuring 2 units by 7 units, and the second rectangle measuring 11 units by 37 units, we have to find if there is a consistent scale factor that can be applied to the sides of the first rectangle to get the sizes of the second rectangle.
Comparing the lengths of the corresponding sides, the scale factor from the first to the second rectangle for the length is 11/2, and for the width, it is 37/7.
If these two fractions yield the same value, the rectangles are scaled versions of each other.
11 divided by 2 equals 5.5, and 37 divided by 7 equals approximately 5.2857.
Since these two numbers are not the same, the rectangles are not scaled versions of each other.