Mathematics Question and Solution
Let the base of the quadrilateral be 1 unit.
a = -54-18+180
a = 108°
(1/sin108) = ((b/sin18)
b = 0.3249196962 units.
Therefore, area B is;
0.5*1*0.3249196962sin54
= 0.131432778 square units.
Calculating area A.
c = -72-36+180
c = 72°
(0.3249196962/sin36) = (d/sin72)
d = 0.5257311121 units.
e = -72+180
e = 108°
f = -108-36 +180
f = 36°
Area A is;
0.5*0.5257311121*0.5257311121sin108
= 0.131432778 square units.
It implies;
A ÷ B is;
= 0.131432778÷0.131432778
= 1
