Question

ABCD este un paralelogram cu P=160cm aflati laturile in fie care caz in parte a) AB=36cm b)AB=3BC c)AB=AB-16cm d) BC=ABsupra4 e)BC=40%din AB ... Multumesc (Va rog astazi ) + coroana

Answer 1

paralelogram ABCD
AB=CD
AD=BC

a)
P=160 cm
AB=CD=36cm
AD=BC=(160-36×2)/2=44

b)
P=160 cm
AB=CD=3×BC
P=AB+BC+CD+DA=3BC+3BC+BC+BC=8BC=160
BC=160:8=20
AD=BC=20
AB=CD=3×20=60

c)P=160 cm
AB= BC-16
P=AB+BC+CD+DA=BC-16+BC-16+BC+BC=160
4BC=160+32=192
BC=48
AD=48
AB=CD=48-16=32

d)
P=160 cm
BC= AB/4        AB=4BC
P=AB+BC+CD+DA=4BC+4BC+BC+BC=160
10BC=160
BC=16
AD=16
AB=CD=16×4=64

e) P=160 cm
BC=40%AB=40AB/100=2AB/5   
P=AB+BC+CD+DA=AB+AB+2AB/5+2AB/5=160
2AB+4AB/5=160
10AB+4AB=800
14AB=800
AB=800/14=400/7=57,(14285)
DC=400/7=57,(14285)
BC=AD=40%×400/7=2/5×400/7=160/7=22,(857142)