Mathematics Question and Solution
Calculating Blue Area.
Let x be the side length of the blue square.
a² = 7²+24²
a = √(7²+24²)
a = 25 units.
b = a+7
b = 25+7
b = 32 units.
c² = b²+24²
c = √(32²+24²)
c = 40 units.
d = ½(c)
d = 20 units.
d is the radius of the quarter circle.
Calculating area square blue.
a² = x²+d²
Where x² is the area of the blue square.
It implies;
25² = x²+20²
625 = x²+400
x² = 625-400
x² = 225 square units.
Again, x² is blue area.
x = 15 units.
