Answer:
PQ = 16 2/3
Explanation:
Since the triangles are similar , the perimeter and the lengths will have the same ratio
27 10
--------- = -----------
45 PQ
Using cross products
27 PQ = 45*10
27 PQ = 450
Divide each side by 27
27 PQ/ 27 = 450/27
PQ = 50/3
PQ = 16 2/3