Subject

    Quantitative Aptitude

    Topic

    Areas & Volumes

    The diagonal of a rectangle is 41\sqrt{41} cm and its area is 20 sq. cm. The perimeter of the rectangle must be:

    ক)
    18
    খ)
    28
    গ)
    38
    ঘ)
    48

    Explanation

    (l2+b2)=41\sqrt{\left(l^2+b^2\right)}=\sqrt{41} (or) l2+b2=41l^2+b^2=41 Also , lb=20lb=20 (l+b)2=l2+b2+2lb\left(l+b\right)^2=l^{2+}b^2+2lb = 41 + 40 = 81 (l + b) = 9. Perimeter = 2(l + b) = 18 cm.

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