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

7

Step-by-step explanation:

Q R

T S

I put the letters here in order, a clockwise order starting at Q.

If you look at our diagram you will see that RT and QS are actually the diagonals of this rectangle.

The diagonals of a rectangle are congruent.

We have the measurement of RT = the measurement of QS.

That is we have this equation: 4x-16=x+5.

4x-16=x+5

Subtract x on both sides:

3x-16 = 5

Add 16 on both sides.

3x = 21

Divide both sides by 3.

x = 7