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1 𝑨= 𝟏 𝟐 𝑷𝒂 P = perimeter a = apothem (P = ns) (use right βˆ†) a
For any shape with all equal sides… 𝑨= 𝟏 𝟐 𝑷𝒂 a P = perimeter (P = ns) a = apothem (use right βˆ†)

2 𝑨= 𝟏 𝟐 𝑷𝒂 𝑨= 𝟏 𝟐 ___ ___ 𝑨=_______ a 60 8.26 x x a _____ ___ = ___ tan
H 36o 12 12 𝑨= 𝟏 𝟐 𝑷𝒂 A a 360Γ· 10 = 36o 6 𝑨= 𝟏 𝟐 ___ ___ O 12 60 8.26 x x 12 a _____ ___ = ___ tan 36o 6 a 60Γ· 5= a tan 36o = 6 12 𝑨=_______ 247.8 cm2 tan 36 a = 6/ tan 36o

3 𝑨= 𝟏 𝟐 𝑷𝒂 𝑨= 𝟏 𝟐 ___ ___ 𝑨=_____ 374.1 units2 a 72 x x a 12 =__ πŸ‘ 6 12
𝑨= 𝟏 𝟐 𝑷𝒂 30o 12 a =__ πŸ‘ 6 12 360Γ· 12 = 30o 6 𝑨= 𝟏 𝟐 ___ ___ 72 6 πŸ‘ x x a 12 12 12 x 𝑨=_____ 374.1 units2 6= 12

4 𝑨= 𝟏 𝟐 𝑷𝒂 𝑨= 𝟏 𝟐 ___ ___ 𝑨= _____ a a 42 4.04 x x 84.8 m2 14 n 7 n πŸ‘
360Γ· 6 = 60o 60 a 14 n 7 a n πŸ‘ n πŸ‘ = 14 7 3 3 𝑨= 𝟏 𝟐 𝑷𝒂 14 x 3= 𝑨= 𝟏 𝟐 ___ ___ 42 4.04 x x 𝑨= _____ 84.8 m2

5 𝑨= 𝟏 𝟐 𝑷𝒂 𝑨= 𝟏 𝟐 𝑷𝒂 𝑨= 𝟏 𝟐 ___ ___ 𝑨= 𝟏 𝟐 ___ ___ 𝑨= _____ 𝑨= _____ a
360Γ· 12 = 30o 14 360Γ· 6 = 60o 14 14 60 a 30o 14 n a =πŸ• πŸ‘ 7 14 14 a n πŸ‘ 7 7 7 n πŸ‘ = 14 7 14 x 6= 3 3 𝑨= 𝟏 𝟐 𝑷𝒂 14 x 3= 𝑨= 𝟏 𝟐 𝑷𝒂 𝑨= 𝟏 𝟐 ___ ___ 𝑨= 𝟏 𝟐 ___ ___ 42 4.04 84 πŸ• πŸ‘ x x x x 𝑨= _____ 84.8 𝑨= _____ m2 509.2 units2

6 8 8 8 4 8 𝑨= 𝟏 𝟐 ___ ___ __ πŸ‘ x x 𝑨= 𝟏 𝟐 𝒃𝒉 𝑨= _____ 27.7 units2 24 Γ·
30 30 8 24 Γ· 3= 𝐧 πŸ‘ 60o 60o 𝒏 8 𝑨= 𝟏 𝟐 ___ ___ __ πŸ‘ 4 8 𝑨= 𝟏 𝟐 𝒃𝒉 x x 𝑨= _____ 27.7 units2

7 8 8 8 4 8 32 πŸπŸ” 𝟐 𝑨= 𝟏 𝟐 ___ ___ __ πŸ‘ 𝑨= 𝟏 𝟐 𝒃𝒉 x 𝑨= _____ 512 x 𝑨= 𝒃𝒉
H 8 30 30 8 24 Γ· 3= 32 𝑯 𝟐 𝟐 πŸπŸ” 𝟐 𝐧 πŸ‘ 60o 60o 𝒏 8 𝑯 𝟐 𝟐 𝑨= 𝟏 𝟐 ___ ___ 4 8 __ πŸ‘ 𝑨= 𝟏 𝟐 𝒃𝒉 x 𝑨= _____ 512 x 𝑨= 𝒃𝒉 𝑨= _____ 27.7 units2 𝑨= ____ ____ πŸπŸ” 𝟐 πŸπŸ” 𝟐 units2 x

8 12 12 42 𝟐𝟏 𝟐 12 𝑨= 𝟏 𝟐 𝒃𝒉 𝑨= 𝟏 𝟐 ___ ___ 12 __ πŸ‘ 6 x x 𝑨= 𝒃𝒉 𝑨= _____
H 36 Γ· 12 30 30 3= 12 42 𝑯 𝟐 𝟐 𝟐𝟏 𝟐 𝐧 πŸ‘ 60o 60o 𝒏 12 𝑯 𝟐 𝟐 𝑨= 𝟏 𝟐 𝒃𝒉 𝑨= 𝟏 𝟐 ___ ___ 12 __ πŸ‘ 6 x x 𝑨= 𝒃𝒉 𝑨= _____ 882 𝑨= _____ 62.4 units2 𝑨= ____ ____ 𝟐𝟏 𝟐 𝟐𝟏 𝟐 units2 x


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