Paper 1 OCTOBER/NOVEMBER 2002 MATHEMATICH (9709/1) A Levels
لطفا برای اطمینان از عملکرد و تجربه بهتر از مرورگرهای مدرن و به روز مانند کروم یا فایرفاکس استفاده کنید.

The diagram shows the dimensions in metres of an L-shaped garden. The perimeter of the garden is $48{\text{ }}m$.
a) Find an expression for $y$ in terms of $x$.
b) Given that the area of the garden is $A\,{m^2}$, show that $A = 48x - 8{x^2}$.
c) Given that $x$ can vary, find the maximum area of the garden, showing that this is a maximum value rather than a minimum value.