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      Question

      On a rectangular wall of length 30 metres and height 25

      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 7 metres and length of altitude of the triangle is 4 metres, then excluding the window, what is the surface area of the wall?
      A 637 sq.m Correct Answer Incorrect Answer
      B 616 sq.m Correct Answer Incorrect Answer
      C 608 sq.m Correct Answer Incorrect Answer
      D 687 sq.m Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Surface area of the entire wall = length Γ— height = 30 Γ— 25 = 750 m2 Surface area of the window = sum of surface area of the square part + surface area of the triangular part => 72Β + (1/2) Γ— 7 Γ— 4 => 49 + 14 = 63 m2 Required surface area = 750 – 63 = 687 m2

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