(a)[1]
Write down a formula for $BC$ in terms of $x$.
(b)[3]
Show that the shaded area, $y\text{ cm}^2$, can be written as $y = 2x + \frac{60}{x} - 4$.
(c)[1]
Complete the table for $y = 2x + \frac{60}{x} - 4$. Give your answer correct to $1$ decimal place.
(d)[3]
Draw the graph of $y = 2x + \frac{60}{x} - 4$ for $2 \le x \le 14$.
(e)[2]
The shaded area measures $24\text{ cm}^2$. $AB$ is shorter than $BC$. Use the graph to determine the dimensions of rectangle $ABCD$.