(a(i))[1]
Show, with working, that $CD = x - 1$.
(a(ii))[3]
The area of rectangle $ABCD$ is $\frac{1}{5}$ of the area of rectangle $EFGD$. Set up an equation in $x$ and show that it reduces to $x^2 - 6x + 3 = 0$.
(b(i))[3]
Use the quadratic formula to solve the equation $x^2 - 6x + 3 = 0$. Show all your working and give your answers correct to $2$ decimal places.
(b(ii))[2]
Calculate the area of the shaded region.