Proportions & Scale Factors Practice
Complete this assessment to review what you’ve learned. It will not count toward your grade.
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Question
Use the image to answer the question.
An illustration shows two rectangles. The first is horizontally positioned lengthwise and the second is positioned slanting lengthwise to the left. The first rectangle has a base length of 5 inches and vertical width of 3 inches. The tilted second rectangle has a length of 9 inches and a width of 5.4 inches.
What scale factor was used to enlarge the rectangle in the image? The measurements refer to inches. Give your answer as a decimal.
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.
The corresponding sides are the base length of the first rectangle (5 inches) and the length of the second rectangle (9 inches).
Therefore, the scale factor is calculated as:
Scale factor = Length of the enlarged rectangle / Length of the original rectangle
Scale factor = 9 inches / 5 inches
Scale factor = 1.8 inches
So, the scale factor used to enlarge the rectangle in the image is 1.8.