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Number Systems Test - 12

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Number Systems Test - 12
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    A plot of land is in the shape of a right angled isosceles triangle. The length of the hypotenuse of the land is 50√2 m. The cost of fencing it at the rate of $3 per metre will be

    Solution

    Let each one of the equal sides of the triangular piece of land be x m.

    Then, x2 + x2 = (50√2)2x = 50 m

    ⇒ The perimeter of the land = x + x + 50√2 = 100 + 50√2

    ∴ The cost of fencing = $3 × (100 + 50√2)

    = $(300 + 150√2) = $512.13

    The correct answer is D.

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