Mathematics

Problem

Lines

x + 2y = 6

and

x - y = 3

intersect at

P

. Let

Q

be the projection of

P

on the

x

-axis and

R

be the projection of

P

on the

y

-axis. What is the perimeter of triangle

PQR

? a)

4 + \sqrt{17}

5 + \sqrt{17}

5 + \sqrt{15}

6 + \sqrt{17}