Question

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

Answer 1

The value of x is 7.

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 = (21)/(3)`

`x = 7`

The value of x is 7.