Mathematics Question and Solution
a = 3x+x
a = 4x
a is the square side.
it implies;
Area Square is;
a²
= (4x)²
= 16x² square units.
Calculating Shaded Area.
b = 45°
tanc = (4x/3x)
c = atan(4/3)°
d = 180-b-c
d = (180-45-atan(4/3))°
Therefore;
(4x/sin(180-45-atan(4/3))) = (e/sin(atan(4/3))
e = 3.2324881426x units.
It implies;
Shaded Area is;
0.5*3.2324881426x*4xsin45
= 4.5714285715x² square units.
Shaded Ratio is;
4.5714285715x²÷16x²
= 0.2857142857
