Answer:
Part 1)
Part 2)
Part 3)
part 4)
Part 5)
Step-by-step explanation:
we know that
In a rectangle opposite sides are parallel and congruent
The measure of each interior angle is 90 degrees
The diagonals are congruent and bisect each other
step 1
Find the length of side PR
we know that
----> by opposite sides
we have
therefore
step 2
Find the length of side PQ
we know that
----> by opposite sides
we have
therefore
step 3
Find the length of diagonal PS
we know that
---> the diagonals bisect each other
we have
---> given problem
therefore
step 4
Find the length of diagonal QR
we know that
---> the diagonals are congruent
we have
therefore
step 5
Find the length of RT
we know that
---> the diagonals bisect each other
we have
substitute