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Largest area enclosed by a wire of given length

This type of question, asked 2 times: 15 May 2023 S1, 11 Apr 2026 S1. All 2 questions below, oldest first.

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  1. Question 1

    15 May 2023 S1

    136
    Twenty meters of wire is available for fencing off a flower-bed in the form of a circular sector. Then the maximum area (in sq. m) of the flowerbed is

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  2. Question 2

    11 Apr 2026 S1

    75
    A wire of length 6464 m is to be bent to form a rectangle such that its area is maximum, then its area is.....

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