Determine the scale factor used in the dilation of the larger rectangle to the similar smaller rectangle. Large rectangle has sides 20 long and width is 10 and the smaller rectangle has side 10 and 5

To find the scale factor, we can compare the corresponding sides of the two rectangles.

The length of the larger rectangle is 20 and the length of the smaller rectangle is 10. So, the scale factor for the length is 10/20 = 1/2.

The width of the larger rectangle is 10 and the width of the smaller rectangle is 5. So, the scale factor for the width is 5/10 = 1/2.

Since the scale factor for both the length and width is 1/2, the scale factor for the dilation of the larger rectangle to the smaller rectangle is 1/2 or 0.5.