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    Question

    If the two adjacent sides of a rectangle are x cm and x – 10 cm and its perimeter is 96 cm then find its area?

    A 551 cm² Correct Answer Incorrect Answer
    B 759 cm² Correct Answer Incorrect Answer
    C 936 cm² Correct Answer Incorrect Answer
    D 816 cm² Correct Answer Incorrect Answer
    E 704 cm² Correct Answer Incorrect Answer

    Solution

    Let the length and breadth of rectangle = x and x – 10 cm Perimeter of rectangle = 2 x [Length + Breadth] According to the question Perimeter of rectangle = 96 cm ⇒ 2 x [Length + Breadth] = 96 ⇒ x + x – 10 = 48 ⇒ Length = x = 29 cm Breadth = (x – 10) = 19 cm Area of rectangle = Length x Breadth Area of rectangle = 29 x 19 Area of rectangle = 551 cm²

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