Calculating Area Triangle ABC and Length AN ÷ Length NC.
Let AB equal x.
a = (3*x)/(3+4)
a = ⅐(3x) units.
a is AT = AN.
b = (4*x)/(3+4)
b = ⅐(4x) units.
b is TB = MB.
c = a+4
c = ⅐(3x)+4
c = ⅐(3...
Calculating Blue Area.
Blue Area is;
2(area circle of radius 1 unit - 2(2(area sector of radius 1 unit and angle 60°) - area equilateral triangle of two side length 1 unit and angle 60°))
=...
Sir Mike Ambrose is the author of the question.
Calculating Area Green ÷ Area Rectangle.
Area rectangle is;
9x8 = 72 square units.
Area green is;
Area trapezoid with two parallel lengths (5+2-¾)...
Calculating Blue Area.
Let x be the radius of the ascribed half circle.
a²+7² = (2x)²
a = √(4x²-49) units.
b = a-4
b = (√(4x²-49)-4) units.
It implies;
Calculating x.
√(4x²-49) ~ x
2x ~ (√(4x²...
Calculating Area Inscribed Yellow Square.
Let the inscribed yellow square side length be x.
Calculating x.
a = (8-x) units.
b = (8-2x) units.
It implies;
8² = (8-2x)²+(8-x)²
64 =...
Calculating Green Area.
Notice.
The composite plane shape is not drawn to scale.
Let x be the width of the ascribed rectangle.
Therefore;
x = the diameter of the inscribed small half circle, an...
Calculating Area Yellow.
Let y be each of the two equal lengths that makes the length of the ascribed rectangle.
Calculating Yellow Area.
a = 14+18
a = 32 units.
a is the width of the ascr...
Sir Mike Ambrose is the author of the question.
Let the two equal length of the inscribed isosceles triangle (red area) be 2 units.
Therefore;
Area blue will be;
Area triangle with lengths 1 unit...
Calculating square area.
tana = (k+2k)/k
a = atan(3)°
b = 90-a
b = atan(⅓)°
tanc = 3k/2k
c = atan(3/2)°
d = 180-a-c
d = 180-atan(3)-atan(3/2)
d = 52.1250163489°
e = 180-a
e = (9...
Calculating Blue Inscribed Square Area.
Let a be the side length of the inscribed blue square.
b = a+½(a)
b = ½(3a) units.
6² = 2c²
c² = ½(36)
c = √(18)
c = 3√(2) units.
Notice....
