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me assume yu meen hite=9.6 cm & area=302.4 cm^2
Regular Polygon area=(n/4)*side*side*tan(beta)
alfa=360/n & beta=(180-alfa)/2
hite depend on if even or odd number sides
pentagon (n=5) with side leng=1 giv hite=1.538842 & area=1.720477
skale it tu hite=9.6...side=6.23845723, & area become 66.958134
hexagon (n=6) with side leng=1 giv hite=1.732051 & area=2.598076
skale it tu make hite=9.6...giv side leng=5.5425620 & area=79.812884...2 small
n=7, hite=2.190643...9.6/2.190643=4.382276976 & area=69.786932...2 small
tri a serkel, hite=wide=9.6, so radius=4.8...area=23.04pi=72.3822
polygon smaller than serkel & serkel 2 small