b. 55 units
Step-by-step explanation
due to the displacements are vertical or horizontal we can add the length of each segmento to find the total,so
so
a)let


as this is a vertical line, we nned to subtract the y-coomponet of the points

so , PQ= 16
Step 2
b) Distance from Q to R (green)
QR
Let

as this is a horizontal line, we need to subtract the x-coomponet of the points ,so

so
QR=24
Step 3
finally, segment RS (blue)
let

as this is a vertical line, we nned to subtract the y-coomponet of the points

Step 4
finally , add the segments to find the total distance from P to S

therefore, the answer i
b. 55 units
I hope this helps you