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      Question

      On a rectangular wall of length 23 metres and height 22

      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 12 metres and length of altitude of the triangle is 3 metres, then excluding the window, what is the surface area (in m2) of the wall?
      A 324 Correct Answer Incorrect Answer
      B 374 Correct Answer Incorrect Answer
      C 344 Correct Answer Incorrect Answer
      D 304 Correct Answer Incorrect Answer

      Solution

      Surface area of the entire wall = length × height = 23 × 22 = 506 m2 Surface area of the window = Sum of surface area of the square part + surface area of the triangular part = 122 + (1/2) × 12 × 3 = 144 + 18 = 162 m2 So, desired surface area = 506 – 162 = 344 m2

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