Question

in a parallelogram PQRS, the bisectors of angel P and angel Q meet on RS. If the perimeter PQRS is 13.5 cm, then measure of QR is ______

Answer 1

We can't find measure of QR but can find PQ + QR...
See in the picture attached

Answer 2

• perimeter of parallelogram=2*(sum of adjacent angles)
• 13.5 cm=2*( sum of adjacent angles)
• = 13.5/2
• =6.75
• =6.75/2
• =3.375cm
• therefore, QR=3.375cm
• By verification-
• perimeter of parallelogram=2*(sum of adjacent angles)
• =2*(3.375+3.375)
• =2*6.75
• =13.5cm
• hence,proved.