Answer: C 78 units
Step-by-step explanation:
If two quadrilaterals are similar, that means that they must have a scale factor that makes one of the figures bigger proportionally, so we can find the scale factor by taking to corresponding sides and dividing the bigger one over the smaller one...
YZ/QS = 13/4 = 3.25 (scale factor)
Now we can multiply the smaller sides by 3.25 to find any sides that we don't know the size of (for the bigger quadrilateral).
PQ * 3.25 = 9 x 3.25 = 29.25 (XY)
PR * 3.25 = 3 x 3.25 = 9.75 (XW)
Add the lengths together to get the perimeter...
XY + XW + WZ + YZ = 29.25 + 9.75 + 26 + 13 = 78 units
*remember to use scale factor to find the lengths or measurements for proportionally bigger figures... :D
