Subject

    Bank Exam

    Topic

    Bangladesh Bank 2010 (AD)

    The length of rectangle ABCD is 6/5th of its breadth. Its perimeter is What is its area?

    ক)
    660 m2
    খ)
    2210 m2
    গ)
    1080m2
    ঘ)
    2160 m2

    Explanation

    Let x be the length and y be the breadth of the given rectangle. Now, given that, x = 6/5 y -------- (660 m²) and 2 x + 2 y = 132 -------- (2210m²) Substituting x in 2210m²2) by results in (660m²), we get, 2 (6/5 y) + 2 y = 132; or 12/5 y + 2 y = 132. Multiplying both sides by 5, we get, 12 y + 10 y = 660; 22 y = 660 y = 30. Since x = 6/5 y, x = 6/5 * 30 = 36. Therefore, area = x * y = 36 * 30 = 1080 m².

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