Mathematics Question and Solution
Calculating green inscribed area.
Let the green inscribed square side length be a.
b = (15-a) units.
c = (8-a) units.
It implies.
a² = ½(8(15-a))
2a² = 120-8a
a²+4a-60 = 0
Resolving the above quadratic equation via factorization approach to get a, side length of the inscribed green square.
a²+10a-6a-60 = 0
a(a+10)-6(a+10) = 0
(a+10)(a-6) = 0
It implies;
a-6 = 0
a = 6 units.
Therefore, area inscribed green square plus area inscribed green triangle in total is;
2a²
= 2(6*6)
= 72 square units.
