Question

Os segmentos AB,CD,MN,PQ são proporcionais nessa ordem.calcule a medida de AB e CD sabendo que MN=18m,PQ=30m e AB + CD = 32.

Answer 1

AB+CD=32
AB=32-CD
AB:CD:MN:PQ
AB:CD:18:30
AB:CD:3:5
5AB=3CD
5(32-CD)=3CD
160-5CD=3CD
160=3CD+5CD
160=8CD
8CD=160
CD=160/8=20
AB+CD=32
AB=32-CD
AB=32-20
AB=12
Portanto:
resposta:
AB=12 e Cd=20.
abraços