Calculating Area Green.
a = ⅙*180(6-2)-90
a = 120-90
a = 30°
b = ½(a)
b = 15°
c = 180-15-120
c = 45°
It implies;
(d/sin45) = (1/sin15)
d = (1+√(3)) units.
d = 2.73205080757 uni...
Calculating x, side length of the largest ascribed square.
a =14+9
a = 23 units.
b² = 23²+7²
b = √(578)
b = 17√(2) units.
b is the diagonal of the largest square.
It implies, x is;...
Calculating Shaded Blue Area.
Notice.
½(10) = 5 cm is the radius of the inscribed circle.
a² = 2(10)²
a = 10√(2) cm.
a is the diagonal of the ascribed square.
b = ½(a)
b = 5√(2) cm....
Calculating fraction of yellow shaded area.
Let the single side length of the square be 2 units.
Area yellow (shaded area) is;
½(4) square units.
= 2 square units.
Area square is;
2...
Kindly move the question right/left one time to review the framework/analysis of the question.
Thank you nicely.
Calculating length DG.
Let x be the side length of the square.
Let h be th...
Calculating Shaded Area.
Let the radius of the semi circle be r.
Calculating r.
2+√(5/2)r ~ ½(3r)
2r ~ √(5/2)r
Cross multiply.
3r² = 2√(5/2)r + (5/2)r²
(½)r² = 2√(...
Calculating the area of each rectangle.
Let the length and width of the rectangle be y and z respectively.
Therefore;
7+7+x+y+z+7+7+x+y+z=66
Where 7 is the single side length of the squar...
Sir Mike Ambrose is the author of the question.
Calculating Area Orange ÷ Area Triangle ABC.
Let the single side length of the regular hexagon be 2 units.
Therefore;
Area orange is;
1.25264388762...
Sir Mike Ambrose is the author of the question.
Let alpha be x.
Calculating Cot²x and (Red length ÷ Blue length)² as single fractions.
Let the side length of the square be 2 units.
tan30...
Calculating Red Area.
Let x be length AB equal length BD.
a²+3² = x²
a = √(x²-9) units.
It implies;
Calculating x
½(4+x)*3 = (3*x)+½(3√(x²-9))
12+3x = 6x+3√(x²-9)
12-3x = 3√(...
