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    Question

    If the two adjacent sides of a rectangle are x cm and x

    – 10 cm and its perimeter is 68 cm then find its area? 
    A 200 cm² Correct Answer Incorrect Answer
    B 231 cm² Correct Answer Incorrect Answer
    C 299 cm² Correct Answer Incorrect Answer
    D 264 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 = 68 cm ⇒ 2 x [Length + Breadth] = 68 ⇒  x + x – 10 = 34  ⇒ Length =  x = 22 cm Breadth = (x – 10) = 12 cm Area of rectangle = Length x Breadth Area of rectangle = 22 x 12 Area of rectangle = 264 cm²

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