Question

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

Answer 1

Answer:

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