Mathematics Question and Solution
Let the side of the two congruent sides be a units.
The small green square side will be;
⅔(a) units.
The big green square side is;
2a - ⅔(a)
= ⅓(4a) units.
b = a-⅔(a)
b = ⅓(a) units.
Calculating a.
9² = a²+(⅓(a))²
81 = a²+(⅑(a²))
81 = 10a²/9
a = 27/√(10)
a = ⅒(27√(10)) units
⅔(a) = ⅕(9√(10)) units.
⅓(4a) = ⅕(18√(10)) units.
Area Green is;
(⅕(9√(10)))² + (⅕(18√(10)))²
= ⅕(162) + ⅕(648)
= ⅕(810)
= 162 square units.
