9709 P11 - Nov 2011 - Q7
1188
The diagram shows the dimensions in metres of an L-shaped garden. The perimeter of the garden is 48 m.
- Find an expression for y in terms of x.
- Given that the area of the garden is A m2, show that A = 48x - 8x2.
- Given that x can vary, find the maximum area of the garden, showing that this is a maximum value rather than a minimum value.
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