Mathematics Question and Solution
Calculating x/y.
Let the side length of the congruent squares be 1 unit each.
x² = 1²+1²
x² = 2
x = √(2) units.
a = 1+1+1
a = 3 units.
b² = 1²+a²
b² = 1²+3²
b = √(10) units.
b is the radius of the circle.
And
b = (x+y) units.
Calculating y.
√(10) = √(2)+y
y = √(10)-√(2)
y = √(2)(√(5)-1) units.
It implies, x/y is;
√(2)/(√(2)(√(5)-1))
= 1/(√(5)-1)
= (1+√(5))/(4)
= ¼(1+√(5)) units.
= 0.80901699437 units.
