Answer:
Each of the diagonals is 16
Explanation:
The diagonals of a rectangular are equal
The two diagonals are QS and RT
QS = RT
→ 30 - 2x = 9 + x
Subtract 30 both sides:
30 - 30 - 2x = 9 - 30 + x
- 2x = -21 + x
Subtract x both sides
-2x - x = -21 + x - x
-3x = -21
x = -21/-3 = 7
So the diagonal RT = 9 + 7 =16
should be the same as diagonal QS
Qs = 30 - 2(7) = 30 - 14 = 16