Answer:
KI=11.25 and HI=6.75
Step-by-step explanation:
Consider the below figure attached with this question.
According to Pythagoras Theorem:

Use Pythagoras in triangle HKL




Taking square root on both sides.

Let length of HI be x.
LI = 12+x
Use Pythagoras theorem in ΔKLI,




Use Pythagoras theorem in ΔHKI,


From (1) and (2) we get



Hence, the measure of HI is 6.75 units.
Substitute x=6.75 in equation (2).


Taking square root on both sides.


Hence, the measure of KI is 11.25 units.
Angle ABC = 48
Angle PBC = 24
Angle A + Angle C = 180-24. Angle A = Angle C
Angle C = 132/2 = 66
Angle PCD = 66-24 = 42 degrees
C is the correct answer I think
B & C would be your answer because 3^-3 would turn into a fraction, 1/3^3 which is the same as C.
The proper name of the quadrilateral is called Parallelograms