Mathematics Question and Solution
Calculating Area Blue.
Notice.
The ascribed plane shape is a regular octagon.
Calculating it's single interior angle.
na = 180(n-2)
8a = 180(8-2)
a = (180*6)/8
a = 135°
a is the single interior angle of the ascribed regular octagon.
b² = 2(5²)-2(5²)cos135
b = 9.23879532511 units.
b is the side length of the inscribed square.
Therefore, area blue is;
½*9.23879532511*9.23879532511
= 42.6776695296 square units.
