Mathematics Question and Solution
Calculating Area Yellow.
Notice.
The ascribed quadrilateral is a square with side 6 units.
a² = x²+3²
a = √(x²+9) units.
b = 2a
b = 2√(x²+9) units.
c = (6+x) units.
Notice.
b = c
Therefore, calculating x.
2√(x²+9) = 6+x
4(x²+9) = (6+x)²
4x²+36 = 36+12x+x²
3x² = 12x
3x = 12
x = 4 units.
d = 6-x
d = 6-4
d = 2 units.
It implies, yellow area is;
Area square with side 6 units - Area triangle with height 4 units and base 3 units - Area triangle with height 2 units and base 6 units.
= 6²-½(4*3)-½(6*2)
= 36-6-6
= 36-12
= 24 square units.
