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    Question

    The perimeter of a rectangle of length 2(x + 6) cm and

    breadth 2(x + 5) cm is double the perimeter of a square of area 361 cm┬▓. Find the area of the rectangle.
    A 1020 cm┬▓ Correct Answer Incorrect Answer
    B 1287 cm┬▓ Correct Answer Incorrect Answer
    C 1935 cm┬▓ Correct Answer Incorrect Answer
    D 1443 cm┬▓ Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ┬а Area of square = 361 cm┬▓ ┬а Side of square = тИЪ361 = 19 cm ┬а Perimeter of square = 19 ├Ч 4 = 76 cm ┬а So, perimeter of rectangle = 2 ├Ч 76 = 152 cm ┬а тЗТ 2(2(x + 6) + 2(x + 5)) = 152 ┬а тЗТ 4x + 22 = 76 ┬а тЗТ 4x = 54 ┬а тЗТ x = 13.5 ┬а So, length of rectangle = 2(13.5 + 6) = 39 cm ┬а And, breadth of rectangle = 2(13.5 + 5) = 37 cm ┬а Therefore, area of rectangle = 39 ├Ч 37 = 1443 cm2

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