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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 тАШ6xтАЩ metres and тАШ7xтАЩ metres, respectively Then, perimeter of the paper = 2 ├Ч (length + breadth) = 2 ├Ч (6x + 7x) = 26 x metres So, 26x = 78 So, x = (78/26) = 3 So, area of the entire paper = length ├Ч breadth = (6 ├Ч 3) ├Ч (7 ├Ч 3) = 18 ├Ч 21 = 378 m2 Area of the triangular piece = (1/2) ├Ч base ├Ч height = (1/2) ├Ч 14 ├Ч 10 = 70 m2 So, area of the remaining paper = 378 тАУ 70 = 308 m2

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