The ride has 100 metres of fencing to make a rectangular enclosure as shown.
link for the image imageshack com
/a/img909/2881/WTnncK.jpg
It will use existing walls for two sides of the enclosure, and leave an opening of 2 metres for a gate.
a Show that the area of the enclosure is given by:
A = 102x – x2
b Find the value of x that will give the maximum possible area.
C Calculate the maximum possible area
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