Calculating the required red rectangle area.
a = √(4) = 2 units.
b = √(16) = 4 units.
c = √(9) = 3 units.
d = a+b
d = 2+4
d = 6 units.
e = b-a
e = 4-2
e = 2 units.
f² = 6²+2²...
Calculating Area Inscribed Blue Square.
a² = 4²-2²
a = √(12)
a = 2√(3) units.
b = 2a
b = 4√(3) units.
Let x be the side length of the inscribed blue square.
x+c+c = 4
x+2c = 4 --- (...
Calculating the length of the blue region.
Notice.
a = ½(10)
a = 5 units.
a is the radius of the inscribed circle.
tanb = 10/5
b = atan(2)°
c = 90-b
c = atan(½)°
d = 45-c
d = (4...
Calculating Area Triangle AED.
Let x be CD.
Figuring an equilateral triangle OCD considering the strategic given two equal angles, 60°.
a = (x-8) units.
a is DE.
b = (x-10) units.
b is...
Calculating Area Green.
Let x be the radius of the half circle.
a = ½(8)
a = 4 units.
x = (4+b) units.
Recall, x is the radius of the half circle.
c²+4² = (4+b)²
c² = 8b+b²
c = √(8b...
Calculating the inscribed square area.
Let x be the side length of the inscribed square.
a² = x²+(0.5x)²
a² = x²+¼(x²)
a² = ¼(5x²)
a = ½√(5)x units.
a is the radius of the circle.
b...
Calculating r, radius of the circle.
a² = 8²+24²-2*8*24cos60
a = 8√(7) cm.
b² = 6²+24²-2*6*24cos120
b = 6√(21) cm.
(24/sinc) = (8√(7)/sin60)
c = 79.1066053509°
d = 180-c
d = 100.893...
Calculating Shaded Area.
Let x be the radius of the inscribed circle.
a = (12+x) units.
a is the height of the ascribed right-angled triangle.
b = (18+x) units.
b is the base of the ascr...
Sir Mike Ambrose is the author of the question.
Calculating Area Orange, exactly in square cm.
Let AB be x.
Therefore BC = 2x cm.
Calculating x.
Yellow area + Area triangle with height...
Sir Mike Ambrose is the author of the question.
Calculating Blue Area.
Area blue exactly in cm² decimal form is;
Area trapezoid with two parallel sides 12 units and (12-16tan15) units, and h...
