Final answer:
The length of PQ is 17 square units, or approximately 4.123 units.
Step-by-step explanation:
To find the length of PQ, we can use the distance formula. The distance formula is given by:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Let's plug in the coordinates of P (1.5, -1) and Q (-2.5, 0) into the formula:
d = sqrt((-2.5 - 1.5)^2 + (0 - (-1))^2)
d = sqrt((-4)^2 + (1)^2)
d = sqrt(16 + 1)
d = sqrt(17)
The length of PQ is 17 square units, or approximately 4.123 units.