Answer:
The value of x is 7.
Step-by-step explanation:
Both RT and SQ are diagonals of the rectangle, so they have the same measure.
We have that:
[tex]RT = 4x - 16, SQ = x + 5[/tex]
Since they are equal:
[tex]4x - 16 = x + 5[/tex]
[tex]4x - x = 5 + 16[/tex]
[tex]3x = 21[/tex]
[tex]x = \frac{21}{3}[/tex]
[tex]x = 7[/tex]
The value of x is 7.
