Answer:
A = 268.707^2
Answer 4th one. 144+72√ 3
Explanation:
We make 2 triangles at lowest point R= 30 /2 = 15 degree
15+ 135- from 180 = 30
P= 60 Q=135 S =135 and R= 30
1/2 of 30= 15 degree
To prove 180 for P,Q,R side triangle 30 + 135 + 15 = 180.
To prove 180 for P,S,R side triangle 30 + 135 + 15
Which confirms P = 60
We use trigonometry sides measure 18+24 and choose the base 18 for Sin x 2 angles.
(18)\ sin 15 x 135 =-9+9sqr3 / 2 = 3.2944228634 and divide 90 / 3.2944228634 =27.31889734 for the diagonal
We look for the height = 17.71
We look for area
=27.31889734 x 17.71 = 241.9088359
A = 241.90 units^2 closest to 144+72√ 3