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    Question

    The perimeter of a rectangle is 100 m, and its diagonal

    is 41 m. Find the area of the rectangle.
    A 409.5 m┬▓ Correct Answer Incorrect Answer
    B 360.5 m┬▓ Correct Answer Incorrect Answer
    C 420.5 m┬▓ Correct Answer Incorrect Answer
    D 320 m┬▓ Correct Answer Incorrect Answer

    Solution

    Let the length and breadth of the rectangle be l and b. Perimeter = 2(l + b) = 100 тЖТ l + b = 50. Diagonal = sqrt(l┬▓ + b┬▓) = 41. Using (l + b)┬▓ = l┬▓ + b┬▓ + 2lb: 50┬▓ = 41┬▓ + 2lb. 2500 = 1681 + 2lb. 2lb = 819┬а lb = 409.5. Area = l ├Ч b = 409.5 m┬▓. Correct Option: a

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