Question

Points Q and R are midpoints of the sides of triangle ABC.

Answer 1

we know that

In the figure triangle ABC and triangle AQR are similar triangles

so

by proportion

$\frac{QR}{AQ} =\frac{BC}{AB} \\ \\ \frac{2p+3}{4p} =\frac{6p-4}{8p} \\ \\ 2*(2p+3)=(6p-4)\\ \\ 4p+6=6p-4\\ \\ 6p-4p=6+4\\ \\ 2p=10\\ \\ p=5$

$AQ=4p\\ AQ=4*5\\ AQ=20\ units$

therefore

the answer is

AQ is $20\ units$

Answer 2

Set up that QR = BC/2

2p+3=3p-2

subtract 2p from each side and add two to each side

5=p

Plug in P to get your answer
Segment AQ=20 units