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    Question

    A rectangular garden is bordered by a walkway of uniform

    width 5 metres. If the total area of the walkway is 1350 m², find the perimeter of the actual garden.
    A 200 m Correct Answer Incorrect Answer
    B 275 m Correct Answer Incorrect Answer
    C 250 m Correct Answer Incorrect Answer
    D 265 m Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let length and breadth of the garden be ‘L’ metres and ‘B’ metres, respectively. ATQ, {(L + 10) × (B + 10)} – (L × B) = 1350 Or, LB + 10L + 10B + 100 – LB = 1350 Or, (L + B) = (1350 – 100)/10 = 125 Therefore, perimeter of the garden = 2 × (L + B) = 2 × 125 = 250 metres

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