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    Question

    The length of a rectangle is 10 cm more than its width.

    If the perimeter of the rectangle is 40 cm, find the area of the rectangle.
    A 100 cm² Correct Answer Incorrect Answer
    B 120 cm² Correct Answer Incorrect Answer
    C 150 cm² Correct Answer Incorrect Answer
    D 75 cm² Correct Answer Incorrect Answer

    Solution

    Let the width be x. Length = x + 10. Perimeter of the rectangle = 2 × (Length + Width) = 40. 2 × (x + (x + 10)) = 40. Simplifying: 2 × (2x + 10) = 40, 4x + 20 = 40, 4x = 20, x = 5. Length = 5 + 10 = 15. Area = Length × Width = 15 × 5 = 75 cm².

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