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Exercise 50 1A farmer wishes to enclose a rectangular field of area 100 m². The farmer must buy fencing material for three of the sides, but the fourth side (one of the longer sides) will be an existing fence. The shorter sides of the rectangular enclosure are to have length x m. Write down the length of the longer sides of the enclosure, in terms of x. b) Find an expression, in terms of x, for the total length of new fencing the farmer must buy to enclose the rectangular field. Find the minimum length of fencing required, and the value of x for which this minimum occurs. Sketch a graph of fencing length against x to confirm your answer.
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