Sienna planned a rectangular pool, as shown in the scale drawing below. 11 in. 7 in. Sienna used the scale drawing above to crea
te a pool that is 14 ft wide x 22 ft long. She then decided to make a pool with a final length of 33 ft. Which expression finds the change in scale factor for the longer pool Sierra is building?
Given that Sienna planned a rectangular pool drawn on a scale 11 inches long by 7 inches wide, and Sienna used the scale drawing above to create a pool that is 14 ft wide x 22 ft long, and she then decided to make a pool with a final length of 33 ft, to determine which expression finds the change in scale factor for the longer pool Sierra is building the following calculation must be performed:
11 inches = 0.916 feet
11 / 0.916 = 12
7 inches = 0.583333 feet
7 / 0.5833333 = 12
Thus, the initial scale is 1:12.
33 / 0.916 = 36
Therefore, the scale factor went from 1:12 to 1:36.
