Subject

    Quantitative Aptitude

    Topic

    Mensuration

    What will be the length of the diagonal of that square plot whose area is equal to the area of a rectangular plot of length 64 m and breadth 49 m?

    ক)
    45 m
    খ)
    \(45\sqrt 2 \;m\)
    গ)
    56 m
    ঘ)
    \(56\sqrt 2 \;m\)
    ঙ)
    None of these

    Explanation

    Area of Rectangle = Length × Breadth ⇒ Area of Rectangle = 64 × 49 Given : Area of Rectangle = Area of Square let the side of the square be "a" Area of square with side "a" = a 2 ⇒ Area of Rectangle = 64 × 49= Area of Square = a 2 ⇒a = (64×49\sqrt {(64 \times 49} = 8×7 = 56 m The length of the diagonal of the square with side a is  a 2\sqrt 2 ⇒ length of the diagonal of the square is 562\sqrt 2 Hence Option (4)

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