if you have two rectangles one is 3ft wide and 9ft long and the other is 1 ft wide and 3ft long what is the scale factor form small rectangle to large rectangle? what is the scale from large to small?
would it be 1/3 and 3/1?
To find the scale factor from the small rectangle to the large rectangle, we need to compare the corresponding dimensions of both rectangles. In this case, we can compare the widths and lengths.
For the width, the small rectangle has a width of 1 ft, and the large rectangle has a width of 3 ft. To get the scale factor from small to large, we divide the width of the large rectangle (3 ft) by the width of the small rectangle (1 ft):
Scale factor from small to large = Large width / Small width = 3 ft / 1 ft = 3
So, the scale factor from the small rectangle to the large rectangle is 3.
Now, to find the scale factor from the large rectangle to the small rectangle, we can reverse the comparison. We divide the width of the small rectangle (1 ft) by the width of the large rectangle (3 ft):
Scale factor from large to small = Small width / Large width = 1 ft / 3 ft = 1/3
Therefore, the scale factor from the large rectangle to the small rectangle is 1/3.