1²+(1-x)²=(1+x)²
1+1-2x+x²=1+2x+x²
1 = 4x
x = ¼ units.
Therefore;
Area Orange/Shaded is;
Area triangle with height 1 unit and base (1-x) units.
= ½(1*(1-x)), and x = ¼ units.
= ½(1-¼)
= ½(¾)
= 3/8 square units.
Area square is;
1*1 = 1 square units.
It implies;
Unshaded area is;
Area square - shaded area.
= 1 - (3/8)
= 5/8
Therefore;
Shaded area : Unshaded area is;
(3/8) : (5/8)
= 3/5
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