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    Question

    There is a rectangular paper, whose length and breadth

    are in the ratio 6:7, respectively and it has a perimeter of 78 metres. If a triangular piece with height of 14 metres and base of 10 metres is cut out from the given paper then find the area (in m2) of the remaining paper.
    A 318 Correct Answer Incorrect Answer
    B 310 Correct Answer Incorrect Answer
    C 308 Correct Answer Incorrect Answer
    D 320 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let the length and breadth of the rectangular be ‘6x’ metres and ‘7x’ metres, respectively Then, perimeter of the paper = 2 × (length + breadth) = 2 × (6x + 7x) = 26 x metres So, 26x = 78 So, x = (78/26) = 3 So, area of the entire paper = length × breadth = (6 × 3) × (7 × 3) = 18 × 21 = 378 m2 Area of the triangular piece = (1/2) × base × height = (1/2) × 14 × 10 = 70 m2 So, area of the remaining paper = 378 – 70 = 308 m2

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