Answer:
SU = 104 units
Step-by-step explanation:
In a rectangle
• the diagonals bisect each other
• the diagonals are congruent (equal )
Then
WV = TW ( substitute expressions )
8p + 4 = 7p + 10 ( subtract 7p from both sides )
p + 4 = 10 ( subtract 4 from both sides )
p = 6
Then
TV = TW + WV
= 7p + 10 + 8p + 4
= 15p + 14
= 15(6) + 14
= 90 + 14
= 104
Now SU = TV = 104 units
