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    Question

    On a rectangular wall of length 20 metres and height 15

    metres, there is a window in the shape of triangle surmounted on a square. If the base of triangle and square overlap and length of each side of the square is 8 metres and length of altitude of the triangle is 5 metres, then excluding the window, what is the surface area of the wall?
    A 216 sq.m Correct Answer Incorrect Answer
    B 192 sq.m Correct Answer Incorrect Answer
    C 202 sq.m Correct Answer Incorrect Answer
    D 160 sq.m Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Surface area of the entire wall = length × height = 20 × 15 = 300 m2 Surface area of the window = sum of surface area of the square part + surface area of the triangular part => 82 + (1/2) × 8 × 5 => 64 + 20 = 84 m2 Required surface area = 300 – 84 = 216 m2

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