If ABCD is a parallelogram in which AB= 9.5 cm and it’s permiter is 30 cm . Find the length of each side of the parallelogram
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AB=CD [opposite sides of a ║gm is equal]
BC=AD [same reason as above]
PERIMETER=AB+BC+CD+AD
30=AB+CD+BC+AD
30=AB+AB+BC+BC [AB=CD AND BC=AD]
30=2AB+2BC
30=2[AB+BC]
AB+BC=30/2
AB+BC=15
9.5+BC=15 [AB=9.5,GIVEN]
BC=15-9.5
BC=5.5
∴AB=9.5 [GIVEN]
BC=5.5 [PROVED ABOVE]
CD=9.5 [AB=CD]
AD=5.5 [BC=AD]
HOPE THIS HELPS...................
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