(a(i))[1]
In terms of $x$, write an expression for $AR$.
(a(ii))[1]
In terms of $x$, write an expression for $AP$.
(b)[3]
$\dfrac{\text{Area of shaded rectangle } ARYP}{\text{Area of rectangle } ABCD} = \frac{3}{4}$. Demonstrate that $x^2 - 22x + 30 = 0$.
(c)[3]
Find the solutions of $x^2 - 22x + 30 = 0$. Show your method and round your answers to 2 decimal places.
(d)[2]
Determine the total unshaded area inside rectangle $ABCD$.