Answer:
16--> Length of PR
4 ---> Value of A
3 ---> Value of B
6 ---> Length of QS
Step-by-step explanation:
Since PQRS is a parallelogram the diagonals are symmetrically split by a shared midpoint: T
Thus the values of A & B can be found by setting the sides to equal each other.
2B - 3 = B add 3 and subtract B from both sides
B = 3
A + 4 = 2A subtract A from both sides
4 = A
Then to find the length of the diagonals: Plug the variables in and add both sides.
2(3) - 3 + (3) =6
(4) + 4 + 2(4) =16