The diagram shows a rectangular garden with a fence on three of its sides and a wall

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The diagram shows a rectangular garden with a fence on three of its sides and a wall on its fourth side. The total length of the fence is 100 m and the area enclosed is Am2.

a. Show that A = 1/2x(100 – x).

b. Find the maximum area of the garden enclosed and the value of x for which this occurs.

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