Mathematics Question and Solution
Calculating Area Ascribed Square.
Let x be the radius of the red inscribed circle.
a = (x-4) cm.
b = (x-6) cm.
It implies;
Calculating x.
(x-4)*(x-4) = x*(x-6)
(x-4)² = x(x-6)
x²-8x+16 = x²-6x
-8x+16 = -6x
8x-6x = 16
2x = 16
x = 8 cm.
Again, x is the radius of the inscribed red circle.
c = 2x
c = 2*8
c = 16 cm.
c is the diameter of the inscribed red circle and also the side length of the ascribed square.
Area Square is;
c²
= 16²
= 256 cm²
