The problemA farmer has exactly 20 m of fencing and wants the largest possible rectangular plot, with whole-metre sides. Which rectangle should they choose?
MethodSince perimeter is 2(l + b), the length and breadth must add up to 10. Work through every possibility and tabulate the areas.
Then look for the patternDo not just find the biggest number. Look at how the areas rise and then fall, and say where the turning point is and why.
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