Question

Point M is the midpoint of segment QR. If QM = 16 + x and MR = 2(x + 2), find the length of QM.

Answer 1

QM = 28

Explanation:

It has been given in the question that M is the midpoint of the segment QR which means distance QM is equal to the distance MR.

Since the QM = 16 + x and MR = 2(x + 2)

and QM = MR

Therefore both the expressions are equal and can be represented by

16 + x = 2(x + 2)

16 + x = 2x + 4

16 - 4 = 2x - x

x = 12

Now we will put the value of x in QM = 16 + x

QM = 16 + 12 + 28

Answer will be QM = 28

Answer 2

If point M is the midpoint of QR then QM = MR

16 + x = 2(x + 2)
16 + x = 2x + 4
16 - 4 = 2x - x
12 = x

QM = 16 + x = 16 + 12 = 28