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    Question

    The area of the rectangular field is 540 m┬▓ and its

    perimeter is 94 m. Find how much percent (approximately) less the breadth of the field is compared to the length of the field?
    A 43% Correct Answer Incorrect Answer
    B 20% Correct Answer Incorrect Answer
    C 70% Correct Answer Incorrect Answer
    D 85% Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ, Let the length and the breadth of the rectangular field be тАШlтАЩ meter and тАШbтАЩ meter, respectively. So, the area of the rectangular field = l ├Ч b = 540 l = 540/b Perimeter of the rectangular field = 2(l + b) = 94 l + b = 47 540/b + b = 47 540 + b┬▓ = 47b b┬▓ тАУ 47b + 540 = 0 b┬▓ тАУ 30b тАУ 17b + 540 = 0 b(b тАУ 30) тАУ 17(b тАУ 30) = 0 (b тАУ 17)(b тАУ 30) = 0 b = 30, 17 b = 17 m and l = 30 m as length is greater than breadth So, the desired percentage = {(30 тАУ 17)/30} ├Ч 100 = 43.33% or 43%

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