In this question all lengths are in centimetres. The diagram shows a rectangle ABCD with BC = x. The area of the rectangle is 400 cm². Two identical quarter-circles of radius x/2, with centres A and C, are removed from the rectangle to make the shaded shape. Given that x can vary, find the value of x that gives the minimum value of the perimeter of the shaded shape and hence find this minimum value.
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The correct answer is —. This question tests the candidate's understanding of differentiation and integration within the Additional Mathematicssyllabus. The examiner's mark scheme requires...
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