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    Question

    The perimeter of a rectangle is 54 cm. The ratio of its

    length to breadth is 4 : 5. What is the area of the rectangle?
    A 154 cm² Correct Answer Incorrect Answer
    B 180 cm² Correct Answer Incorrect Answer
    C 125 cm² Correct Answer Incorrect Answer
    D 175 cm² Correct Answer Incorrect Answer

    Solution

    ATQ, Let length = 4k, breadth = 5k Perimeter = 2(l + b) = 2(4k + 5k) = 18k = 54 ⇒ k = 3 Length = 12 cm, breadth = 15 cm Area = 12 × 15 = 180 cm²

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