Question

QRST is a rectangle. If RT = 4x - 16 and SQ = x + 5, find the value of x.

Answer 1

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:

$RT = 4x - 16, SQ = x + 5$

Since they are equal:

$4x - 16 = x + 5$

$4x - x = 5 + 16$

$3x = 21$

$x = \frac{21}{3}$

$x = 7$

The value of x is 7.