First, find the scale factor by evaluating the ratio of corresponding sides.
Scale Factor: 1/2 Perimeter of ABCD: 56 yards Perimeter of QRST: 112 yards
Practice makes perfect
To find the scale factor, we will evaluate the ratio of the corresponding sides of these rectangles. Since we are given that the length of rectangle ABCD is 20 and the length of a rectangle QRST is 40, we can use these dimensions to find the scale factor.
The scale factor of rectangle ABCD to rectangle QRST is 12. Now, let's evaluate the perimeter of rectangle ABCD. To do this, recall that the perimeter of a rectangle is a doubled sum of its dimensions, 8 and 20.
The perimeter of a rectangle ABCD is 56 yards. Let's recall that if two polygons are similar, then their perimeters are proportional to the scale factor between them. We will use the scale factor we found above, 12.
Perimeter ofABCD/Perimeter ofQRST=1/2
We can find the perimeter of QRST, let's call it P, by substituting 56 for perimeter of ABCD.
