Mathematics Question and Solution
Calculating Area Green Square.
a² = 12
a = √(12)
a = 2√(3) units.
a is the side length of the the square.
b = a+x
b = (x+2√(3)) units.
b is the side length of the green square.
c = (2√(3)-x) units.
Calculating x.
2√(3) ~ (x+2√(3))
x ~ (2√(3)-x)
Cross Multiply.
12-2√(3)x = x²+2√(3)x
x²+4√(3)x-12 = 0
(x+2√(3))² = 12+(2√(3))²
(x+2√(3))² = 24
(x+2√(3))² = √(24)
x = -2√(3)±2√(6)
It implies;
x = (2√(6)-2√(3)) units.
Recall.
b = (x+2√(3)) units.
b is the side length of the green square.
And x = (2√(6)-2√(3)) units.
Therefore;
b = (2√(6)-2√(3))+2√(3)
b = 2√(6) units.
Again, b is the side length of the green square.
It implies, area green square is;
b²
= (2√(6))²
= 4*6
= 24 square units.
