Question

in parallelogram pqrs pq=5x-4 rs=3x+6 ps=2y+3, qr=3y-5 find length of each side of the parallelogram​

Answer 1

Length of side pq and rs will be 21

Length of side ps and qr will be 19

Answer 2

Answer:

Length of each side of the parallelogram​ are 19 cm and 21 cm

Step-by-step explanation:

Given, PQ=5x-4 RS=3x+6 PS=2y+3, QR=3y-5

In a parallelogram the opposite sides are equal and parallel to each other.

So in the parallelogram PQRS,

             Length of PQ=RS and QR=SP

For PQ=RS

                   $5x-4=3x+6\\ \\ 5x-3x=6+4\\ \\ 2x=10\\ \\ x=5$

so

$PQ=5x-4=25-4=21\\ \\ \\RS=3x+6=15+6=21$

For QR=SP$2y+3=3y-5\\ \\ 2y-3y=-5-3\\ \\ -y=-8\\ \\ y=8\\ \\ PS=2y+3\\ \\ PS=16+3=19$