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    Question

    An agricultural field is in the form of rectangle having

    length X1 meters and breadth X2 meters. (X1 and X2 are variables). If X1 + X2 = 40 meters, then the area of the agricultural field will not exceed which one of the following values?
    A 400 sq m Correct Answer Incorrect Answer
    B 300 sq m Correct Answer Incorrect Answer
    C 200 sq m Correct Answer Incorrect Answer
    D 80 sq m Correct Answer Incorrect Answer

    Solution

    Given, X1 + X2 = 40 (length + breadth = 40)

    Area of the field = X1 × X2 ​

    To get the biggest area, length and breadth should be equal.

    So, let: X1 = 20, & X2 = 20

    Then area = 20 × 20 = 400 square meters.

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