Mathematics Question and Solution
Please, move the above question left/right one time to review detailed explanation of the solution.
Thank you.
The derived used equations are;
3y = 5x ------- (1)
y = ⅓(5x) ------ (2)
(y-5)(x-3) = 5x ------- (3)
Substituting (2) in (3) to get x.
x = ½(9+3√(5)) units.
Therefore;
Using (2).
y is;
½(15+5√(5)) units.
Where x is the length of the pink rectangle, and y the length of the grey rectangle.
Therefore;
Area rectangle ABCD exact is;
Length AD x Length AB
= (5+½(15+5√(5))) x (3+½(9+3√(5)))
= ½(25+5√(5)) x ½(15+3√(5))
=¼(450+150√(5)) square units.
= 75(3+√(5))/2 square units.
= 196.352549156 square units.
