Question

Dau coroana Ex 17 urgeeent

Answer 1

AM=AB/2=24/2=12 cm, MB=24-AM=12 cm
BN=BC/3=24/3=8 cm, NC=24-BN=16 cm
CP=CD/4=24/4=6 cm, PD=24-CP=18 cm
DQ=AD/6=24/6=4 cm, QA=24-DQ=20 cm
aria tr. AMQ=AMxQA/2
aria tr. BMN=MBxBN/2
aria tr. CNP=NCxCP/2
aria tr. DPQ=PDxDQ/2
aria MNPQ= aria patratului ABCD - aria tr.AMQ - aria BMN - aria CNP - aria DPQ
aria MNPQ=24^2 - 12x20/2 - 12x8/2 - 16x6/2 - 18x4/2=576-120-48-48-36
aria MNPQ=324 cm2